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Finding the Fourth Proportional to 14,761.34, 20,372.82 and 9,724.76

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Solution

The fourth proportional to 14,761.34, 20,372.82 and 9,724.76 is: 13,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.34 : 20,372.82 = 9,724.76 : x
  2. Step 2: Convert to fraction form
    14,761.34/20,372.82 = 9,724.76/x
  3. Step 3: Cross multiply
    14,761.34x = 20,372.82 × 9,724.76
  4. Step 4: Simplify right side
    14,761.34x = 198,120,785.02
  5. Step 5: Solve for x
    x = 198,120,785.02/14,761.34
  6. Step 6: Final answer
    x = 13,421.60

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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.