Home / 10,961.28-16,440-3,171.20

Finding the Fourth Proportional to 10,961.28, 16,440 and 3,171.20

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Solution

The fourth proportional to 10,961.28, 16,440 and 3,171.20 is: 4,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.28 : 16,440 = 3,171.20 : x
  2. Step 2: Convert to fraction form
    10,961.28/16,440 = 3,171.20/x
  3. Step 3: Cross multiply
    10,961.28x = 16,440 × 3,171.20
  4. Step 4: Simplify right side
    10,961.28x = 52,134,528
  5. Step 5: Solve for x
    x = 52,134,528/10,961.28
  6. Step 6: Final answer
    x = 4,756.24

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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.