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Finding the Fourth Proportional to 2,103.30, 3,155.08 and 642.46

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Solution

The fourth proportional to 2,103.30, 3,155.08 and 642.46 is: 963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.30 : 3,155.08 = 642.46 : x
  2. Step 2: Convert to fraction form
    2,103.30/3,155.08 = 642.46/x
  3. Step 3: Cross multiply
    2,103.30x = 3,155.08 × 642.46
  4. Step 4: Simplify right side
    2,103.30x = 2,027,012.70
  5. Step 5: Solve for x
    x = 2,027,012.70/2,103.30
  6. Step 6: Final answer
    x = 963.73

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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.