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Finding the Fourth Proportional to 8,279.40, 12,419.10 and 4,780.20

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Solution

The fourth proportional to 8,279.40, 12,419.10 and 4,780.20 is: 7,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.40 : 12,419.10 = 4,780.20 : x
  2. Step 2: Convert to fraction form
    8,279.40/12,419.10 = 4,780.20/x
  3. Step 3: Cross multiply
    8,279.40x = 12,419.10 × 4,780.20
  4. Step 4: Simplify right side
    8,279.40x = 59,365,781.82
  5. Step 5: Solve for x
    x = 59,365,781.82/8,279.40
  6. Step 6: Final answer
    x = 7,170.30

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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.