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Finding the Fourth Proportional to 21,728.32, 29,989.92 and 13,352

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Solution

The fourth proportional to 21,728.32, 29,989.92 and 13,352 is: 18,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.32 : 29,989.92 = 13,352 : x
  2. Step 2: Convert to fraction form
    21,728.32/29,989.92 = 13,352/x
  3. Step 3: Cross multiply
    21,728.32x = 29,989.92 × 13,352
  4. Step 4: Simplify right side
    21,728.32x = 400,425,411.84
  5. Step 5: Solve for x
    x = 400,425,411.84/21,728.32
  6. Step 6: Final answer
    x = 18,428.73

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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.