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Finding the Fourth Proportional to 2,580.88, 3,872.36 and 1,042

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Solution

The fourth proportional to 2,580.88, 3,872.36 and 1,042 is: 1,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.88 : 3,872.36 = 1,042 : x
  2. Step 2: Convert to fraction form
    2,580.88/3,872.36 = 1,042/x
  3. Step 3: Cross multiply
    2,580.88x = 3,872.36 × 1,042
  4. Step 4: Simplify right side
    2,580.88x = 4,034,999.12
  5. Step 5: Solve for x
    x = 4,034,999.12/2,580.88
  6. Step 6: Final answer
    x = 1,563.42

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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.