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Finding the Fourth Proportional to 11,098, 16,658.40 and 8,659.48

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Solution

The fourth proportional to 11,098, 16,658.40 and 8,659.48 is: 12,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098 : 16,658.40 = 8,659.48 : x
  2. Step 2: Convert to fraction form
    11,098/16,658.40 = 8,659.48/x
  3. Step 3: Cross multiply
    11,098x = 16,658.40 × 8,659.48
  4. Step 4: Simplify right side
    11,098x = 144,253,081.63
  5. Step 5: Solve for x
    x = 144,253,081.63/11,098
  6. Step 6: Final answer
    x = 12,998.12

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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.