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Finding the Fourth Proportional to 6,279.70, 9,419.55 and 3,822.10

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Solution

The fourth proportional to 6,279.70, 9,419.55 and 3,822.10 is: 5,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.70 : 9,419.55 = 3,822.10 : x
  2. Step 2: Convert to fraction form
    6,279.70/9,419.55 = 3,822.10/x
  3. Step 3: Cross multiply
    6,279.70x = 9,419.55 × 3,822.10
  4. Step 4: Simplify right side
    6,279.70x = 36,002,462.06
  5. Step 5: Solve for x
    x = 36,002,462.06/6,279.70
  6. Step 6: Final answer
    x = 5,733.15

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1.5x scale

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.