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Finding the Fourth Proportional to 35,781.91, 53,666.80 and 9,489.31

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Solution

The fourth proportional to 35,781.91, 53,666.80 and 9,489.31 is: 14,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,781.91 : 53,666.80 = 9,489.31 : x
  2. Step 2: Convert to fraction form
    35,781.91/53,666.80 = 9,489.31/x
  3. Step 3: Cross multiply
    35,781.91x = 53,666.80 × 9,489.31
  4. Step 4: Simplify right side
    35,781.91x = 509,260,901.91
  5. Step 5: Solve for x
    x = 509,260,901.91/35,781.91
  6. Step 6: Final answer
    x = 14,232.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.