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Finding the Fourth Proportional to 3,129.78, 4,702.14 and 1,832.16

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Solution

The fourth proportional to 3,129.78, 4,702.14 and 1,832.16 is: 2,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.78 : 4,702.14 = 1,832.16 : x
  2. Step 2: Convert to fraction form
    3,129.78/4,702.14 = 1,832.16/x
  3. Step 3: Cross multiply
    3,129.78x = 4,702.14 × 1,832.16
  4. Step 4: Simplify right side
    3,129.78x = 8,615,072.82
  5. Step 5: Solve for x
    x = 8,615,072.82/3,129.78
  6. Step 6: Final answer
    x = 2,752.61

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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.