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Finding the Fourth Proportional to 2,642.97, 3,648.32 and 1,524.86

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Solution

The fourth proportional to 2,642.97, 3,648.32 and 1,524.86 is: 2,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.97 : 3,648.32 = 1,524.86 : x
  2. Step 2: Convert to fraction form
    2,642.97/3,648.32 = 1,524.86/x
  3. Step 3: Cross multiply
    2,642.97x = 3,648.32 × 1,524.86
  4. Step 4: Simplify right side
    2,642.97x = 5,563,177.24
  5. Step 5: Solve for x
    x = 5,563,177.24/2,642.97
  6. Step 6: Final answer
    x = 2,104.90

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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.