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Finding the Fourth Proportional to 31,947.24, 47,920.86 and 9,759.42

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Solution

The fourth proportional to 31,947.24, 47,920.86 and 9,759.42 is: 14,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947.24 : 47,920.86 = 9,759.42 : x
  2. Step 2: Convert to fraction form
    31,947.24/47,920.86 = 9,759.42/x
  3. Step 3: Cross multiply
    31,947.24x = 47,920.86 × 9,759.42
  4. Step 4: Simplify right side
    31,947.24x = 467,679,799.50
  5. Step 5: Solve for x
    x = 467,679,799.50/31,947.24
  6. Step 6: Final answer
    x = 14,639.13

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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.