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Finding the Fourth Proportional to 6,279.75, 8,666.00 and 3,447

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Solution

The fourth proportional to 6,279.75, 8,666.00 and 3,447 is: 4,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.75 : 8,666.00 = 3,447 : x
  2. Step 2: Convert to fraction form
    6,279.75/8,666.00 = 3,447/x
  3. Step 3: Cross multiply
    6,279.75x = 8,666.00 × 3,447
  4. Step 4: Simplify right side
    6,279.75x = 29,871,697.69
  5. Step 5: Solve for x
    x = 29,871,697.69/6,279.75
  6. Step 6: Final answer
    x = 4,756.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.