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Finding the Fourth Proportional to 31,978.20, 44,135.10 and 19,411.80

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Solution

The fourth proportional to 31,978.20, 44,135.10 and 19,411.80 is: 26,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.20 : 44,135.10 = 19,411.80 : x
  2. Step 2: Convert to fraction form
    31,978.20/44,135.10 = 19,411.80/x
  3. Step 3: Cross multiply
    31,978.20x = 44,135.10 × 19,411.80
  4. Step 4: Simplify right side
    31,978.20x = 856,741,734.18
  5. Step 5: Solve for x
    x = 856,741,734.18/31,978.20
  6. Step 6: Final answer
    x = 26,791.43

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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.