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Finding the Fourth Proportional to 22,766, 31,425.72 and 15,318.32

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Solution

The fourth proportional to 22,766, 31,425.72 and 15,318.32 is: 21,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,766 : 31,425.72 = 15,318.32 : x
  2. Step 2: Convert to fraction form
    22,766/31,425.72 = 15,318.32/x
  3. Step 3: Cross multiply
    22,766x = 31,425.72 × 15,318.32
  4. Step 4: Simplify right side
    22,766x = 481,389,235.19
  5. Step 5: Solve for x
    x = 481,389,235.19/22,766
  6. Step 6: Final answer
    x = 21,145.10

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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.