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Finding the Fourth Proportional to 2,451, 3,382.38 and 1,403.04

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Solution

The fourth proportional to 2,451, 3,382.38 and 1,403.04 is: 1,936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451 : 3,382.38 = 1,403.04 : x
  2. Step 2: Convert to fraction form
    2,451/3,382.38 = 1,403.04/x
  3. Step 3: Cross multiply
    2,451x = 3,382.38 × 1,403.04
  4. Step 4: Simplify right side
    2,451x = 4,745,614.44
  5. Step 5: Solve for x
    x = 4,745,614.44/2,451
  6. Step 6: Final answer
    x = 1,936.20

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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.