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Finding the Fourth Proportional to 31,854.86, 43,978.89 and 21,108.80

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Solution

The fourth proportional to 31,854.86, 43,978.89 and 21,108.80 is: 29,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.86 : 43,978.89 = 21,108.80 : x
  2. Step 2: Convert to fraction form
    31,854.86/43,978.89 = 21,108.80/x
  3. Step 3: Cross multiply
    31,854.86x = 43,978.89 × 21,108.80
  4. Step 4: Simplify right side
    31,854.86x = 928,341,593.23
  5. Step 5: Solve for x
    x = 928,341,593.23/31,854.86
  6. Step 6: Final answer
    x = 29,142.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.