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Finding the Fourth Proportional to 8,769, 12,099.20 and 5,231.52

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Solution

The fourth proportional to 8,769, 12,099.20 and 5,231.52 is: 7,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769 : 12,099.20 = 5,231.52 : x
  2. Step 2: Convert to fraction form
    8,769/12,099.20 = 5,231.52/x
  3. Step 3: Cross multiply
    8,769x = 12,099.20 × 5,231.52
  4. Step 4: Simplify right side
    8,769x = 63,297,206.78
  5. Step 5: Solve for x
    x = 63,297,206.78/8,769
  6. Step 6: Final answer
    x = 7,218.29

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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.