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Finding the Fourth Proportional to 6,279.40, 9,416.40 and 3,158.20

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Solution

The fourth proportional to 6,279.40, 9,416.40 and 3,158.20 is: 4,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.40 : 9,416.40 = 3,158.20 : x
  2. Step 2: Convert to fraction form
    6,279.40/9,416.40 = 3,158.20/x
  3. Step 3: Cross multiply
    6,279.40x = 9,416.40 × 3,158.20
  4. Step 4: Simplify right side
    6,279.40x = 29,738,874.48
  5. Step 5: Solve for x
    x = 29,738,874.48/6,279.40
  6. Step 6: Final answer
    x = 4,735.94

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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.