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Finding the Fourth Proportional to 2,265.72, 3,396.98 and 877.90

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Solution

The fourth proportional to 2,265.72, 3,396.98 and 877.90 is: 1,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.72 : 3,396.98 = 877.90 : x
  2. Step 2: Convert to fraction form
    2,265.72/3,396.98 = 877.90/x
  3. Step 3: Cross multiply
    2,265.72x = 3,396.98 × 877.90
  4. Step 4: Simplify right side
    2,265.72x = 2,982,208.74
  5. Step 5: Solve for x
    x = 2,982,208.74/2,265.72
  6. Step 6: Final answer
    x = 1,316.23

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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.