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Finding the Fourth Proportional to 11,053.61, 16,534.84 and 7,098.78

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Solution

The fourth proportional to 11,053.61, 16,534.84 and 7,098.78 is: 10,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.61 : 16,534.84 = 7,098.78 : x
  2. Step 2: Convert to fraction form
    11,053.61/16,534.84 = 7,098.78/x
  3. Step 3: Cross multiply
    11,053.61x = 16,534.84 × 7,098.78
  4. Step 4: Simplify right side
    11,053.61x = 117,377,191.50
  5. Step 5: Solve for x
    x = 117,377,191.50/11,053.61
  6. Step 6: Final answer
    x = 10,618.90

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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.