Home / 31,418-47,139.12-10,641.44

Finding the Fourth Proportional to 31,418, 47,139.12 and 10,641.44

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Solution

The fourth proportional to 31,418, 47,139.12 and 10,641.44 is: 15,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418 : 47,139.12 = 10,641.44 : x
  2. Step 2: Convert to fraction form
    31,418/47,139.12 = 10,641.44/x
  3. Step 3: Cross multiply
    31,418x = 47,139.12 × 10,641.44
  4. Step 4: Simplify right side
    31,418x = 501,628,117.13
  5. Step 5: Solve for x
    x = 501,628,117.13/31,418
  6. Step 6: Final answer
    x = 15,966.27

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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.