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Finding the Fourth Proportional to 2,478.80, 3,689.88 and 2,441.88

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Solution

The fourth proportional to 2,478.80, 3,689.88 and 2,441.88 is: 3,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.80 : 3,689.88 = 2,441.88 : x
  2. Step 2: Convert to fraction form
    2,478.80/3,689.88 = 2,441.88/x
  3. Step 3: Cross multiply
    2,478.80x = 3,689.88 × 2,441.88
  4. Step 4: Simplify right side
    2,478.80x = 9,010,244.17
  5. Step 5: Solve for x
    x = 9,010,244.17/2,478.80
  6. Step 6: Final answer
    x = 3,634.92

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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.