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Finding the Fourth Proportional to 8,666.64, 13,007.24 and 8,119.89

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Solution

The fourth proportional to 8,666.64, 13,007.24 and 8,119.89 is: 12,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.64 : 13,007.24 = 8,119.89 : x
  2. Step 2: Convert to fraction form
    8,666.64/13,007.24 = 8,119.89/x
  3. Step 3: Cross multiply
    8,666.64x = 13,007.24 × 8,119.89
  4. Step 4: Simplify right side
    8,666.64x = 105,617,378.30
  5. Step 5: Solve for x
    x = 105,617,378.30/8,666.64
  6. Step 6: Final answer
    x = 12,186.66

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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.