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Finding the Fourth Proportional to 2,178.25, 3,265.89 and 717.19

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Solution

The fourth proportional to 2,178.25, 3,265.89 and 717.19 is: 1,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.25 : 3,265.89 = 717.19 : x
  2. Step 2: Convert to fraction form
    2,178.25/3,265.89 = 717.19/x
  3. Step 3: Cross multiply
    2,178.25x = 3,265.89 × 717.19
  4. Step 4: Simplify right side
    2,178.25x = 2,342,263.65
  5. Step 5: Solve for x
    x = 2,342,263.65/2,178.25
  6. Step 6: Final answer
    x = 1,075.30

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1.5x scale

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.