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Finding the Fourth Proportional to 12,677.51, 17,498.73 and 8,201.15

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Solution

The fourth proportional to 12,677.51, 17,498.73 and 8,201.15 is: 11,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.51 : 17,498.73 = 8,201.15 : x
  2. Step 2: Convert to fraction form
    12,677.51/17,498.73 = 8,201.15/x
  3. Step 3: Cross multiply
    12,677.51x = 17,498.73 × 8,201.15
  4. Step 4: Simplify right side
    12,677.51x = 143,509,718.42
  5. Step 5: Solve for x
    x = 143,509,718.42/12,677.51
  6. Step 6: Final answer
    x = 11,320.02

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.