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Finding the Fourth Proportional to 31,671.81, 47,524.12 and 22,978.49

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Solution

The fourth proportional to 31,671.81, 47,524.12 and 22,978.49 is: 34,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671.81 : 47,524.12 = 22,978.49 : x
  2. Step 2: Convert to fraction form
    31,671.81/47,524.12 = 22,978.49/x
  3. Step 3: Cross multiply
    31,671.81x = 47,524.12 × 22,978.49
  4. Step 4: Simplify right side
    31,671.81x = 1,092,032,221.11
  5. Step 5: Solve for x
    x = 1,092,032,221.11/31,671.81
  6. Step 6: Final answer
    x = 34,479.63

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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.