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Finding the Fourth Proportional to 2,522, 3,781.76 and 877.96

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Solution

The fourth proportional to 2,522, 3,781.76 and 877.96 is: 1,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522 : 3,781.76 = 877.96 : x
  2. Step 2: Convert to fraction form
    2,522/3,781.76 = 877.96/x
  3. Step 3: Cross multiply
    2,522x = 3,781.76 × 877.96
  4. Step 4: Simplify right side
    2,522x = 3,320,234.01
  5. Step 5: Solve for x
    x = 3,320,234.01/2,522
  6. Step 6: Final answer
    x = 1,316.51

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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.