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Finding the Fourth Proportional to 12,677.72, 17,495.19 and 7,088.72

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Solution

The fourth proportional to 12,677.72, 17,495.19 and 7,088.72 is: 9,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.72 : 17,495.19 = 7,088.72 : x
  2. Step 2: Convert to fraction form
    12,677.72/17,495.19 = 7,088.72/x
  3. Step 3: Cross multiply
    12,677.72x = 17,495.19 × 7,088.72
  4. Step 4: Simplify right side
    12,677.72x = 124,018,415.78
  5. Step 5: Solve for x
    x = 124,018,415.78/12,677.72
  6. Step 6: Final answer
    x = 9,782.39

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Half scale
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Double scale
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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.