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Finding the Fourth Proportional to 12,875, 17,755.35 and 8,402.18

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Solution

The fourth proportional to 12,875, 17,755.35 and 8,402.18 is: 11,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875 : 17,755.35 = 8,402.18 : x
  2. Step 2: Convert to fraction form
    12,875/17,755.35 = 8,402.18/x
  3. Step 3: Cross multiply
    12,875x = 17,755.35 × 8,402.18
  4. Step 4: Simplify right side
    12,875x = 149,183,646.66
  5. Step 5: Solve for x
    x = 149,183,646.66/12,875
  6. Step 6: Final answer
    x = 11,587.08

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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.