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Finding the Fourth Proportional to 31,909.30, 47,864 and 8,535.74

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Solution

The fourth proportional to 31,909.30, 47,864 and 8,535.74 is: 12,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.30 : 47,864 = 8,535.74 : x
  2. Step 2: Convert to fraction form
    31,909.30/47,864 = 8,535.74/x
  3. Step 3: Cross multiply
    31,909.30x = 47,864 × 8,535.74
  4. Step 4: Simplify right side
    31,909.30x = 408,554,659.36
  5. Step 5: Solve for x
    x = 408,554,659.36/31,909.30
  6. Step 6: Final answer
    x = 12,803.62

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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.