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Finding the Fourth Proportional to 10,957.28, 16,435.84 and 2,749.28

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Solution

The fourth proportional to 10,957.28, 16,435.84 and 2,749.28 is: 4,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.28 : 16,435.84 = 2,749.28 : x
  2. Step 2: Convert to fraction form
    10,957.28/16,435.84 = 2,749.28/x
  3. Step 3: Cross multiply
    10,957.28x = 16,435.84 × 2,749.28
  4. Step 4: Simplify right side
    10,957.28x = 45,186,726.20
  5. Step 5: Solve for x
    x = 45,186,726.20/10,957.28
  6. Step 6: Final answer
    x = 4,123.90

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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.