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Finding the Fourth Proportional to 31,841.92, 47,762.71 and 8,149.42

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Solution

The fourth proportional to 31,841.92, 47,762.71 and 8,149.42 is: 12,224.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.92 : 47,762.71 = 8,149.42 : x
  2. Step 2: Convert to fraction form
    31,841.92/47,762.71 = 8,149.42/x
  3. Step 3: Cross multiply
    31,841.92x = 47,762.71 × 8,149.42
  4. Step 4: Simplify right side
    31,841.92x = 389,238,536.46
  5. Step 5: Solve for x
    x = 389,238,536.46/31,841.92
  6. Step 6: Final answer
    x = 12,224.09

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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.