Home / 1,031.61-1,546.70-826.12

Finding the Fourth Proportional to 1,031.61, 1,546.70 and 826.12

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Solution

The fourth proportional to 1,031.61, 1,546.70 and 826.12 is: 1,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.61 : 1,546.70 = 826.12 : x
  2. Step 2: Convert to fraction form
    1,031.61/1,546.70 = 826.12/x
  3. Step 3: Cross multiply
    1,031.61x = 1,546.70 × 826.12
  4. Step 4: Simplify right side
    1,031.61x = 1,277,761.96
  5. Step 5: Solve for x
    x = 1,277,761.96/1,031.61
  6. Step 6: Final answer
    x = 1,238.61

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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.