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Finding the Fourth Proportional to 22,972.16, 31,703.10 and 13,411.28

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Solution

The fourth proportional to 22,972.16, 31,703.10 and 13,411.28 is: 18,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972.16 : 31,703.10 = 13,411.28 : x
  2. Step 2: Convert to fraction form
    22,972.16/31,703.10 = 13,411.28/x
  3. Step 3: Cross multiply
    22,972.16x = 31,703.10 × 13,411.28
  4. Step 4: Simplify right side
    22,972.16x = 425,179,150.97
  5. Step 5: Solve for x
    x = 425,179,150.97/22,972.16
  6. Step 6: Final answer
    x = 18,508.45

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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.