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Finding the Fourth Proportional to 8,564.65, 12,849.02 and 2,721.27

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Solution

The fourth proportional to 8,564.65, 12,849.02 and 2,721.27 is: 4,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.65 : 12,849.02 = 2,721.27 : x
  2. Step 2: Convert to fraction form
    8,564.65/12,849.02 = 2,721.27/x
  3. Step 3: Cross multiply
    8,564.65x = 12,849.02 × 2,721.27
  4. Step 4: Simplify right side
    8,564.65x = 34,965,574.80
  5. Step 5: Solve for x
    x = 34,965,574.80/8,564.65
  6. Step 6: Final answer
    x = 4,082.55

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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.