Home / 20,742-31,046.40-10,867.20

Finding the Fourth Proportional to 20,742, 31,046.40 and 10,867.20

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Solution

The fourth proportional to 20,742, 31,046.40 and 10,867.20 is: 16,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742 : 31,046.40 = 10,867.20 : x
  2. Step 2: Convert to fraction form
    20,742/31,046.40 = 10,867.20/x
  3. Step 3: Cross multiply
    20,742x = 31,046.40 × 10,867.20
  4. Step 4: Simplify right side
    20,742x = 337,387,438.08
  5. Step 5: Solve for x
    x = 337,387,438.08/20,742
  6. Step 6: Final answer
    x = 16,265.91

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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.