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Finding the Fourth Proportional to 31,412.77, 43,349.13 and 17,265.31

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Solution

The fourth proportional to 31,412.77, 43,349.13 and 17,265.31 is: 23,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.77 : 43,349.13 = 17,265.31 : x
  2. Step 2: Convert to fraction form
    31,412.77/43,349.13 = 17,265.31/x
  3. Step 3: Cross multiply
    31,412.77x = 43,349.13 × 17,265.31
  4. Step 4: Simplify right side
    31,412.77x = 748,436,167.68
  5. Step 5: Solve for x
    x = 748,436,167.68/31,412.77
  6. Step 6: Final answer
    x = 23,825.86

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