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Finding the Fourth Proportional to 22,757.40, 31,405.14 and 13,324.08

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Solution

The fourth proportional to 22,757.40, 31,405.14 and 13,324.08 is: 18,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.40 : 31,405.14 = 13,324.08 : x
  2. Step 2: Convert to fraction form
    22,757.40/31,405.14 = 13,324.08/x
  3. Step 3: Cross multiply
    22,757.40x = 31,405.14 × 13,324.08
  4. Step 4: Simplify right side
    22,757.40x = 418,444,597.77
  5. Step 5: Solve for x
    x = 418,444,597.77/22,757.40
  6. Step 6: Final answer
    x = 18,387.19

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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.