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Finding the Fourth Proportional to 20,566.49, 30,862.08 and 8,879.70

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Solution

The fourth proportional to 20,566.49, 30,862.08 and 8,879.70 is: 13,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566.49 : 30,862.08 = 8,879.70 : x
  2. Step 2: Convert to fraction form
    20,566.49/30,862.08 = 8,879.70/x
  3. Step 3: Cross multiply
    20,566.49x = 30,862.08 × 8,879.70
  4. Step 4: Simplify right side
    20,566.49x = 274,045,813.07
  5. Step 5: Solve for x
    x = 274,045,813.07/20,566.49
  6. Step 6: Final answer
    x = 13,324.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.