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Finding the Fourth Proportional to 8,769.76, 12,098.33 and 5,412.71

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Solution

The fourth proportional to 8,769.76, 12,098.33 and 5,412.71 is: 7,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.76 : 12,098.33 = 5,412.71 : x
  2. Step 2: Convert to fraction form
    8,769.76/12,098.33 = 5,412.71/x
  3. Step 3: Cross multiply
    8,769.76x = 12,098.33 × 5,412.71
  4. Step 4: Simplify right side
    8,769.76x = 65,484,775.25
  5. Step 5: Solve for x
    x = 65,484,775.25/8,769.76
  6. Step 6: Final answer
    x = 7,467.11

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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.