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Finding the Fourth Proportional to 2,191.80, 3,287.72 and 652.80

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Solution

The fourth proportional to 2,191.80, 3,287.72 and 652.80 is: 979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.80 : 3,287.72 = 652.80 : x
  2. Step 2: Convert to fraction form
    2,191.80/3,287.72 = 652.80/x
  3. Step 3: Cross multiply
    2,191.80x = 3,287.72 × 652.80
  4. Step 4: Simplify right side
    2,191.80x = 2,146,223.62
  5. Step 5: Solve for x
    x = 2,146,223.62/2,191.80
  6. Step 6: Final answer
    x = 979.21

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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.