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Finding the Fourth Proportional to 2,774.04, 4,161.48 and 826.32

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Solution

The fourth proportional to 2,774.04, 4,161.48 and 826.32 is: 1,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.04 : 4,161.48 = 826.32 : x
  2. Step 2: Convert to fraction form
    2,774.04/4,161.48 = 826.32/x
  3. Step 3: Cross multiply
    2,774.04x = 4,161.48 × 826.32
  4. Step 4: Simplify right side
    2,774.04x = 3,438,714.15
  5. Step 5: Solve for x
    x = 3,438,714.15/2,774.04
  6. Step 6: Final answer
    x = 1,239.61

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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.