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Finding the Fourth Proportional to 31,832.80, 47,734.80 and 12,104.80

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Solution

The fourth proportional to 31,832.80, 47,734.80 and 12,104.80 is: 18,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.80 : 47,734.80 = 12,104.80 : x
  2. Step 2: Convert to fraction form
    31,832.80/47,734.80 = 12,104.80/x
  3. Step 3: Cross multiply
    31,832.80x = 47,734.80 × 12,104.80
  4. Step 4: Simplify right side
    31,832.80x = 577,820,207.04
  5. Step 5: Solve for x
    x = 577,820,207.04/31,832.80
  6. Step 6: Final answer
    x = 18,151.72

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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.