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Finding the Fourth Proportional to 10,491.04, 15,736.56 and 2,699.86

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Solution

The fourth proportional to 10,491.04, 15,736.56 and 2,699.86 is: 4,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.04 : 15,736.56 = 2,699.86 : x
  2. Step 2: Convert to fraction form
    10,491.04/15,736.56 = 2,699.86/x
  3. Step 3: Cross multiply
    10,491.04x = 15,736.56 × 2,699.86
  4. Step 4: Simplify right side
    10,491.04x = 42,486,508.88
  5. Step 5: Solve for x
    x = 42,486,508.88/10,491.04
  6. Step 6: Final answer
    x = 4,049.79

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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.