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Finding the Fourth Proportional to 2,381.91, 3,287.13 and 1,387.52

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Solution

The fourth proportional to 2,381.91, 3,287.13 and 1,387.52 is: 1,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.91 : 3,287.13 = 1,387.52 : x
  2. Step 2: Convert to fraction form
    2,381.91/3,287.13 = 1,387.52/x
  3. Step 3: Cross multiply
    2,381.91x = 3,287.13 × 1,387.52
  4. Step 4: Simplify right side
    2,381.91x = 4,560,942.18
  5. Step 5: Solve for x
    x = 4,560,942.18/2,381.91
  6. Step 6: Final answer
    x = 1,914.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.