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Finding the Fourth Proportional to 8,866.85, 12,234.05 and 5,719.25

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Solution

The fourth proportional to 8,866.85, 12,234.05 and 5,719.25 is: 7,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,866.85 : 12,234.05 = 5,719.25 : x
  2. Step 2: Convert to fraction form
    8,866.85/12,234.05 = 5,719.25/x
  3. Step 3: Cross multiply
    8,866.85x = 12,234.05 × 5,719.25
  4. Step 4: Simplify right side
    8,866.85x = 69,969,561.87
  5. Step 5: Solve for x
    x = 69,969,561.87/8,866.85
  6. Step 6: Final answer
    x = 7,891.14

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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.