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Finding the Fourth Proportional to 2,899, 4,344.42 and 1,254.28

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Solution

The fourth proportional to 2,899, 4,344.42 and 1,254.28 is: 1,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899 : 4,344.42 = 1,254.28 : x
  2. Step 2: Convert to fraction form
    2,899/4,344.42 = 1,254.28/x
  3. Step 3: Cross multiply
    2,899x = 4,344.42 × 1,254.28
  4. Step 4: Simplify right side
    2,899x = 5,449,119.12
  5. Step 5: Solve for x
    x = 5,449,119.12/2,899
  6. Step 6: Final answer
    x = 1,879.65

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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.