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Finding the Fourth Proportional to 1,350, 1,861.29 and 877.21

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Solution

The fourth proportional to 1,350, 1,861.29 and 877.21 is: 1,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350 : 1,861.29 = 877.21 : x
  2. Step 2: Convert to fraction form
    1,350/1,861.29 = 877.21/x
  3. Step 3: Cross multiply
    1,350x = 1,861.29 × 877.21
  4. Step 4: Simplify right side
    1,350x = 1,632,737.55
  5. Step 5: Solve for x
    x = 1,632,737.55/1,350
  6. Step 6: Final answer
    x = 1,209.44

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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.