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Finding the Fourth Proportional to 31,812, 47,719.66 and 9,624.80

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Solution

The fourth proportional to 31,812, 47,719.66 and 9,624.80 is: 14,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812 : 47,719.66 = 9,624.80 : x
  2. Step 2: Convert to fraction form
    31,812/47,719.66 = 9,624.80/x
  3. Step 3: Cross multiply
    31,812x = 47,719.66 × 9,624.80
  4. Step 4: Simplify right side
    31,812x = 459,292,183.57
  5. Step 5: Solve for x
    x = 459,292,183.57/31,812
  6. Step 6: Final answer
    x = 14,437.70

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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.