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Finding the Fourth Proportional to 11,629.91, 17,447.03 and 5,385.80

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Solution

The fourth proportional to 11,629.91, 17,447.03 and 5,385.80 is: 8,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.91 : 17,447.03 = 5,385.80 : x
  2. Step 2: Convert to fraction form
    11,629.91/17,447.03 = 5,385.80/x
  3. Step 3: Cross multiply
    11,629.91x = 17,447.03 × 5,385.80
  4. Step 4: Simplify right side
    11,629.91x = 93,966,214.17
  5. Step 5: Solve for x
    x = 93,966,214.17/11,629.91
  6. Step 6: Final answer
    x = 8,079.70

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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.