Home / 31,427-47,162.98-11,436.46

Finding the Fourth Proportional to 31,427, 47,162.98 and 11,436.46

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Solution

The fourth proportional to 31,427, 47,162.98 and 11,436.46 is: 17,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,427 : 47,162.98 = 11,436.46 : x
  2. Step 2: Convert to fraction form
    31,427/47,162.98 = 11,436.46/x
  3. Step 3: Cross multiply
    31,427x = 47,162.98 × 11,436.46
  4. Step 4: Simplify right side
    31,427x = 539,377,534.25
  5. Step 5: Solve for x
    x = 539,377,534.25/31,427
  6. Step 6: Final answer
    x = 17,162.87

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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.