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Finding the Fourth Proportional to 31,125.70, 46,691.12 and 13,119.12

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Solution

The fourth proportional to 31,125.70, 46,691.12 and 13,119.12 is: 19,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125.70 : 46,691.12 = 13,119.12 : x
  2. Step 2: Convert to fraction form
    31,125.70/46,691.12 = 13,119.12/x
  3. Step 3: Cross multiply
    31,125.70x = 46,691.12 × 13,119.12
  4. Step 4: Simplify right side
    31,125.70x = 612,546,340.62
  5. Step 5: Solve for x
    x = 612,546,340.62/31,125.70
  6. Step 6: Final answer
    x = 19,679.76

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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.