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Finding the Fourth Proportional to 2,126.32, 3,188.86 and 827.48

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Solution

The fourth proportional to 2,126.32, 3,188.86 and 827.48 is: 1,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.32 : 3,188.86 = 827.48 : x
  2. Step 2: Convert to fraction form
    2,126.32/3,188.86 = 827.48/x
  3. Step 3: Cross multiply
    2,126.32x = 3,188.86 × 827.48
  4. Step 4: Simplify right side
    2,126.32x = 2,638,717.87
  5. Step 5: Solve for x
    x = 2,638,717.87/2,126.32
  6. Step 6: Final answer
    x = 1,240.98

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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.