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Finding the Fourth Proportional to 2,103.40, 3,155.10 and 642.55

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Solution

The fourth proportional to 2,103.40, 3,155.10 and 642.55 is: 963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.40 : 3,155.10 = 642.55 : x
  2. Step 2: Convert to fraction form
    2,103.40/3,155.10 = 642.55/x
  3. Step 3: Cross multiply
    2,103.40x = 3,155.10 × 642.55
  4. Step 4: Simplify right side
    2,103.40x = 2,027,309.51
  5. Step 5: Solve for x
    x = 2,027,309.51/2,103.40
  6. Step 6: Final answer
    x = 963.83

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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.