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Finding the Fourth Proportional to 2,454.76, 3,678.48 and 2,101.48

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Solution

The fourth proportional to 2,454.76, 3,678.48 and 2,101.48 is: 3,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.76 : 3,678.48 = 2,101.48 : x
  2. Step 2: Convert to fraction form
    2,454.76/3,678.48 = 2,101.48/x
  3. Step 3: Cross multiply
    2,454.76x = 3,678.48 × 2,101.48
  4. Step 4: Simplify right side
    2,454.76x = 7,730,252.15
  5. Step 5: Solve for x
    x = 7,730,252.15/2,454.76
  6. Step 6: Final answer
    x = 3,149.09

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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.