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Finding the Fourth Proportional to 8,669.62, 13,011.72 and 8,122.87

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Solution

The fourth proportional to 8,669.62, 13,011.72 and 8,122.87 is: 12,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.62 : 13,011.72 = 8,122.87 : x
  2. Step 2: Convert to fraction form
    8,669.62/13,011.72 = 8,122.87/x
  3. Step 3: Cross multiply
    8,669.62x = 13,011.72 × 8,122.87
  4. Step 4: Simplify right side
    8,669.62x = 105,692,404.36
  5. Step 5: Solve for x
    x = 105,692,404.36/8,669.62
  6. Step 6: Final answer
    x = 12,191.13

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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.