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Finding the Fourth Proportional to 2,451, 3,382.40 and 1,403.07

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Solution

The fourth proportional to 2,451, 3,382.40 and 1,403.07 is: 1,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451 : 3,382.40 = 1,403.07 : x
  2. Step 2: Convert to fraction form
    2,451/3,382.40 = 1,403.07/x
  3. Step 3: Cross multiply
    2,451x = 3,382.40 × 1,403.07
  4. Step 4: Simplify right side
    2,451x = 4,745,736.95
  5. Step 5: Solve for x
    x = 4,745,736.95/2,451
  6. Step 6: Final answer
    x = 1,936.25

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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.