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Finding the Fourth Proportional to 31,874.90, 47,811.12 and 8,501.13

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Solution

The fourth proportional to 31,874.90, 47,811.12 and 8,501.13 is: 12,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.90 : 47,811.12 = 8,501.13 : x
  2. Step 2: Convert to fraction form
    31,874.90/47,811.12 = 8,501.13/x
  3. Step 3: Cross multiply
    31,874.90x = 47,811.12 × 8,501.13
  4. Step 4: Simplify right side
    31,874.90x = 406,448,546.57
  5. Step 5: Solve for x
    x = 406,448,546.57/31,874.90
  6. Step 6: Final answer
    x = 12,751.37

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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.