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Finding the Fourth Proportional to 9,921.76, 14,872.92 and 5,542.92

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Solution

The fourth proportional to 9,921.76, 14,872.92 and 5,542.92 is: 8,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.76 : 14,872.92 = 5,542.92 : x
  2. Step 2: Convert to fraction form
    9,921.76/14,872.92 = 5,542.92/x
  3. Step 3: Cross multiply
    9,921.76x = 14,872.92 × 5,542.92
  4. Step 4: Simplify right side
    9,921.76x = 82,439,405.73
  5. Step 5: Solve for x
    x = 82,439,405.73/9,921.76
  6. Step 6: Final answer
    x = 8,308.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.