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Finding the Fourth Proportional to 2,581.90, 3,872.13 and 803.13

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Solution

The fourth proportional to 2,581.90, 3,872.13 and 803.13 is: 1,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.90 : 3,872.13 = 803.13 : x
  2. Step 2: Convert to fraction form
    2,581.90/3,872.13 = 803.13/x
  3. Step 3: Cross multiply
    2,581.90x = 3,872.13 × 803.13
  4. Step 4: Simplify right side
    2,581.90x = 3,109,806.23
  5. Step 5: Solve for x
    x = 3,109,806.23/2,581.90
  6. Step 6: Final answer
    x = 1,204.47

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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.