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Finding the Fourth Proportional to 6,469, 9,686.82 and 4,491.76

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Solution

The fourth proportional to 6,469, 9,686.82 and 4,491.76 is: 6,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469 : 9,686.82 = 4,491.76 : x
  2. Step 2: Convert to fraction form
    6,469/9,686.82 = 4,491.76/x
  3. Step 3: Cross multiply
    6,469x = 9,686.82 × 4,491.76
  4. Step 4: Simplify right side
    6,469x = 43,510,870.60
  5. Step 5: Solve for x
    x = 43,510,870.60/6,469
  6. Step 6: Final answer
    x = 6,726.06

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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.