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Finding the Fourth Proportional to 8,614.18, 12,918.53 and 2,769.42

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Solution

The fourth proportional to 8,614.18, 12,918.53 and 2,769.42 is: 4,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.18 : 12,918.53 = 2,769.42 : x
  2. Step 2: Convert to fraction form
    8,614.18/12,918.53 = 2,769.42/x
  3. Step 3: Cross multiply
    8,614.18x = 12,918.53 × 2,769.42
  4. Step 4: Simplify right side
    8,614.18x = 35,776,842.28
  5. Step 5: Solve for x
    x = 35,776,842.28/8,614.18
  6. Step 6: Final answer
    x = 4,153.25

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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.