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Finding the Fourth Proportional to 8,281.40, 12,446.40 and 7,212.20

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Solution

The fourth proportional to 8,281.40, 12,446.40 and 7,212.20 is: 10,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.40 : 12,446.40 = 7,212.20 : x
  2. Step 2: Convert to fraction form
    8,281.40/12,446.40 = 7,212.20/x
  3. Step 3: Cross multiply
    8,281.40x = 12,446.40 × 7,212.20
  4. Step 4: Simplify right side
    8,281.40x = 89,765,926.08
  5. Step 5: Solve for x
    x = 89,765,926.08/8,281.40
  6. Step 6: Final answer
    x = 10,839.46

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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.