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Finding the Fourth Proportional to 4,239.15, 6,351.77 and 4,077.15

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Solution

The fourth proportional to 4,239.15, 6,351.77 and 4,077.15 is: 6,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.15 : 6,351.77 = 4,077.15 : x
  2. Step 2: Convert to fraction form
    4,239.15/6,351.77 = 4,077.15/x
  3. Step 3: Cross multiply
    4,239.15x = 6,351.77 × 4,077.15
  4. Step 4: Simplify right side
    4,239.15x = 25,897,098.67
  5. Step 5: Solve for x
    x = 25,897,098.67/4,239.15
  6. Step 6: Final answer
    x = 6,109.03

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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.