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Finding the Fourth Proportional to 8,227.40, 12,305.10 and 7,356.20

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Solution

The fourth proportional to 8,227.40, 12,305.10 and 7,356.20 is: 11,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.40 : 12,305.10 = 7,356.20 : x
  2. Step 2: Convert to fraction form
    8,227.40/12,305.10 = 7,356.20/x
  3. Step 3: Cross multiply
    8,227.40x = 12,305.10 × 7,356.20
  4. Step 4: Simplify right side
    8,227.40x = 90,518,776.62
  5. Step 5: Solve for x
    x = 90,518,776.62/8,227.40
  6. Step 6: Final answer
    x = 11,002.11

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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.