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Finding the Fourth Proportional to 8,822, 12,179.76 and 5,683.76

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Solution

The fourth proportional to 8,822, 12,179.76 and 5,683.76 is: 7,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822 : 12,179.76 = 5,683.76 : x
  2. Step 2: Convert to fraction form
    8,822/12,179.76 = 5,683.76/x
  3. Step 3: Cross multiply
    8,822x = 12,179.76 × 5,683.76
  4. Step 4: Simplify right side
    8,822x = 69,226,832.70
  5. Step 5: Solve for x
    x = 69,226,832.70/8,822
  6. Step 6: Final answer
    x = 7,847.07

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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.