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Finding the Fourth Proportional to 8,769.65, 12,098.12 and 5,231.57

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Solution

The fourth proportional to 8,769.65, 12,098.12 and 5,231.57 is: 7,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.65 : 12,098.12 = 5,231.57 : x
  2. Step 2: Convert to fraction form
    8,769.65/12,098.12 = 5,231.57/x
  3. Step 3: Cross multiply
    8,769.65x = 12,098.12 × 5,231.57
  4. Step 4: Simplify right side
    8,769.65x = 63,292,075.00
  5. Step 5: Solve for x
    x = 63,292,075.00/8,769.65
  6. Step 6: Final answer
    x = 7,217.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.