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Finding the Fourth Proportional to 3,666, 5,478.87 and 2,680.89

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Solution

The fourth proportional to 3,666, 5,478.87 and 2,680.89 is: 4,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666 : 5,478.87 = 2,680.89 : x
  2. Step 2: Convert to fraction form
    3,666/5,478.87 = 2,680.89/x
  3. Step 3: Cross multiply
    3,666x = 5,478.87 × 2,680.89
  4. Step 4: Simplify right side
    3,666x = 14,688,247.79
  5. Step 5: Solve for x
    x = 14,688,247.79/3,666
  6. Step 6: Final answer
    x = 4,006.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.