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Finding the Fourth Proportional to 31,591.32, 47,394.81 and 9,404.64

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Solution

The fourth proportional to 31,591.32, 47,394.81 and 9,404.64 is: 14,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.32 : 47,394.81 = 9,404.64 : x
  2. Step 2: Convert to fraction form
    31,591.32/47,394.81 = 9,404.64/x
  3. Step 3: Cross multiply
    31,591.32x = 47,394.81 × 9,404.64
  4. Step 4: Simplify right side
    31,591.32x = 445,731,125.92
  5. Step 5: Solve for x
    x = 445,731,125.92/31,591.32
  6. Step 6: Final answer
    x = 14,109.29

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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.