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Finding the Fourth Proportional to 31,834.70, 47,751.99 and 8,461.13

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Solution

The fourth proportional to 31,834.70, 47,751.99 and 8,461.13 is: 12,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834.70 : 47,751.99 = 8,461.13 : x
  2. Step 2: Convert to fraction form
    31,834.70/47,751.99 = 8,461.13/x
  3. Step 3: Cross multiply
    31,834.70x = 47,751.99 × 8,461.13
  4. Step 4: Simplify right side
    31,834.70x = 404,035,795.15
  5. Step 5: Solve for x
    x = 404,035,795.15/31,834.70
  6. Step 6: Final answer
    x = 12,691.68

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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.