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Finding the Fourth Proportional to 2,178.66, 3,265.68 and 717.42

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Solution

The fourth proportional to 2,178.66, 3,265.68 and 717.42 is: 1,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.66 : 3,265.68 = 717.42 : x
  2. Step 2: Convert to fraction form
    2,178.66/3,265.68 = 717.42/x
  3. Step 3: Cross multiply
    2,178.66x = 3,265.68 × 717.42
  4. Step 4: Simplify right side
    2,178.66x = 2,342,864.15
  5. Step 5: Solve for x
    x = 2,342,864.15/2,178.66
  6. Step 6: Final answer
    x = 1,075.37

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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.