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Finding the Fourth Proportional to 2,265.35, 3,395.94 and 879.62

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Solution

The fourth proportional to 2,265.35, 3,395.94 and 879.62 is: 1,318.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.35 : 3,395.94 = 879.62 : x
  2. Step 2: Convert to fraction form
    2,265.35/3,395.94 = 879.62/x
  3. Step 3: Cross multiply
    2,265.35x = 3,395.94 × 879.62
  4. Step 4: Simplify right side
    2,265.35x = 2,987,119.76
  5. Step 5: Solve for x
    x = 2,987,119.76/2,265.35
  6. Step 6: Final answer
    x = 1,318.62

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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.