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Finding the Fourth Proportional to 31,624.79, 47,437.18 and 8,251.02

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Solution

The fourth proportional to 31,624.79, 47,437.18 and 8,251.02 is: 12,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.79 : 47,437.18 = 8,251.02 : x
  2. Step 2: Convert to fraction form
    31,624.79/47,437.18 = 8,251.02/x
  3. Step 3: Cross multiply
    31,624.79x = 47,437.18 × 8,251.02
  4. Step 4: Simplify right side
    31,624.79x = 391,405,100.30
  5. Step 5: Solve for x
    x = 391,405,100.30/31,624.79
  6. Step 6: Final answer
    x = 12,376.53

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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.