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Finding the Fourth Proportional to 2,559, 3,531.36 and 1,439.97

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Solution

The fourth proportional to 2,559, 3,531.36 and 1,439.97 is: 1,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559 : 3,531.36 = 1,439.97 : x
  2. Step 2: Convert to fraction form
    2,559/3,531.36 = 1,439.97/x
  3. Step 3: Cross multiply
    2,559x = 3,531.36 × 1,439.97
  4. Step 4: Simplify right side
    2,559x = 5,085,052.46
  5. Step 5: Solve for x
    x = 5,085,052.46/2,559
  6. Step 6: Final answer
    x = 1,987.12

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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.