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Finding the Fourth Proportional to 2,176.52, 3,267.21 and 878.90

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Solution

The fourth proportional to 2,176.52, 3,267.21 and 878.90 is: 1,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.52 : 3,267.21 = 878.90 : x
  2. Step 2: Convert to fraction form
    2,176.52/3,267.21 = 878.90/x
  3. Step 3: Cross multiply
    2,176.52x = 3,267.21 × 878.90
  4. Step 4: Simplify right side
    2,176.52x = 2,871,550.87
  5. Step 5: Solve for x
    x = 2,871,550.87/2,176.52
  6. Step 6: Final answer
    x = 1,319.33

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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.