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Finding the Fourth Proportional to 8,262.80, 12,394.20 and 4,974.20

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Solution

The fourth proportional to 8,262.80, 12,394.20 and 4,974.20 is: 7,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.80 : 12,394.20 = 4,974.20 : x
  2. Step 2: Convert to fraction form
    8,262.80/12,394.20 = 4,974.20/x
  3. Step 3: Cross multiply
    8,262.80x = 12,394.20 × 4,974.20
  4. Step 4: Simplify right side
    8,262.80x = 61,651,229.64
  5. Step 5: Solve for x
    x = 61,651,229.64/8,262.80
  6. Step 6: Final answer
    x = 7,461.30

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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.