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Finding the Fourth Proportional to 2,257.72, 3,389 and 1,999.32

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Solution

The fourth proportional to 2,257.72, 3,389 and 1,999.32 is: 3,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.72 : 3,389 = 1,999.32 : x
  2. Step 2: Convert to fraction form
    2,257.72/3,389 = 1,999.32/x
  3. Step 3: Cross multiply
    2,257.72x = 3,389 × 1,999.32
  4. Step 4: Simplify right side
    2,257.72x = 6,775,695.48
  5. Step 5: Solve for x
    x = 6,775,695.48/2,257.72
  6. Step 6: Final answer
    x = 3,001.12

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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.