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Finding the Fourth Proportional to 2,621.91, 3,932.78 and 674.13

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Solution

The fourth proportional to 2,621.91, 3,932.78 and 674.13 is: 1,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.91 : 3,932.78 = 674.13 : x
  2. Step 2: Convert to fraction form
    2,621.91/3,932.78 = 674.13/x
  3. Step 3: Cross multiply
    2,621.91x = 3,932.78 × 674.13
  4. Step 4: Simplify right side
    2,621.91x = 2,651,201.61
  5. Step 5: Solve for x
    x = 2,651,201.61/2,621.91
  6. Step 6: Final answer
    x = 1,011.17

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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.