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Finding the Fourth Proportional to 11,814.65, 17,711.03 and 6,616.88

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Solution

The fourth proportional to 11,814.65, 17,711.03 and 6,616.88 is: 9,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.65 : 17,711.03 = 6,616.88 : x
  2. Step 2: Convert to fraction form
    11,814.65/17,711.03 = 6,616.88/x
  3. Step 3: Cross multiply
    11,814.65x = 17,711.03 × 6,616.88
  4. Step 4: Simplify right side
    11,814.65x = 117,191,638.55
  5. Step 5: Solve for x
    x = 117,191,638.55/11,814.65
  6. Step 6: Final answer
    x = 9,919.18

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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.