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Finding the Fourth Proportional to 8,469, 11,687.40 and 5,069.53

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Solution

The fourth proportional to 8,469, 11,687.40 and 5,069.53 is: 6,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469 : 11,687.40 = 5,069.53 : x
  2. Step 2: Convert to fraction form
    8,469/11,687.40 = 5,069.53/x
  3. Step 3: Cross multiply
    8,469x = 11,687.40 × 5,069.53
  4. Step 4: Simplify right side
    8,469x = 59,249,624.92
  5. Step 5: Solve for x
    x = 59,249,624.92/8,469
  6. Step 6: Final answer
    x = 6,996.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.