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Finding the Fourth Proportional to 9,947.92, 13,728.47 and 5,471.86

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Solution

The fourth proportional to 9,947.92, 13,728.47 and 5,471.86 is: 7,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.92 : 13,728.47 = 5,471.86 : x
  2. Step 2: Convert to fraction form
    9,947.92/13,728.47 = 5,471.86/x
  3. Step 3: Cross multiply
    9,947.92x = 13,728.47 × 5,471.86
  4. Step 4: Simplify right side
    9,947.92x = 75,120,265.85
  5. Step 5: Solve for x
    x = 75,120,265.85/9,947.92
  6. Step 6: Final answer
    x = 7,551.35

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1.5x scale

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.