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Finding the Fourth Proportional to 31,502.80, 47,254.20 and 12,791.80

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Solution

The fourth proportional to 31,502.80, 47,254.20 and 12,791.80 is: 19,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.80 : 47,254.20 = 12,791.80 : x
  2. Step 2: Convert to fraction form
    31,502.80/47,254.20 = 12,791.80/x
  3. Step 3: Cross multiply
    31,502.80x = 47,254.20 × 12,791.80
  4. Step 4: Simplify right side
    31,502.80x = 604,466,275.56
  5. Step 5: Solve for x
    x = 604,466,275.56/31,502.80
  6. Step 6: Final answer
    x = 19,187.70

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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.