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Finding the Fourth Proportional to 6,859.76, 10,279.56 and 3,739.28

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Solution

The fourth proportional to 6,859.76, 10,279.56 and 3,739.28 is: 5,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.76 : 10,279.56 = 3,739.28 : x
  2. Step 2: Convert to fraction form
    6,859.76/10,279.56 = 3,739.28/x
  3. Step 3: Cross multiply
    6,859.76x = 10,279.56 × 3,739.28
  4. Step 4: Simplify right side
    6,859.76x = 38,438,153.12
  5. Step 5: Solve for x
    x = 38,438,153.12/6,859.76
  6. Step 6: Final answer
    x = 5,603.43

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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.