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Finding the Fourth Proportional to 31,681.97, 47,522.95 and 8,308.41

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Solution

The fourth proportional to 31,681.97, 47,522.95 and 8,308.41 is: 12,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.97 : 47,522.95 = 8,308.41 : x
  2. Step 2: Convert to fraction form
    31,681.97/47,522.95 = 8,308.41/x
  3. Step 3: Cross multiply
    31,681.97x = 47,522.95 × 8,308.41
  4. Step 4: Simplify right side
    31,681.97x = 394,840,000.76
  5. Step 5: Solve for x
    x = 394,840,000.76/31,681.97
  6. Step 6: Final answer
    x = 12,462.61

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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.