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Finding the Fourth Proportional to 2,103.42, 3,155.13 and 642.57

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Solution

The fourth proportional to 2,103.42, 3,155.13 and 642.57 is: 963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.42 : 3,155.13 = 642.57 : x
  2. Step 2: Convert to fraction form
    2,103.42/3,155.13 = 642.57/x
  3. Step 3: Cross multiply
    2,103.42x = 3,155.13 × 642.57
  4. Step 4: Simplify right side
    2,103.42x = 2,027,391.88
  5. Step 5: Solve for x
    x = 2,027,391.88/2,103.42
  6. Step 6: Final answer
    x = 963.86

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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.