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Finding the Fourth Proportional to 8,226.02, 12,349.23 and 5,470.40

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Solution

The fourth proportional to 8,226.02, 12,349.23 and 5,470.40 is: 8,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.02 : 12,349.23 = 5,470.40 : x
  2. Step 2: Convert to fraction form
    8,226.02/12,349.23 = 5,470.40/x
  3. Step 3: Cross multiply
    8,226.02x = 12,349.23 × 5,470.40
  4. Step 4: Simplify right side
    8,226.02x = 67,555,258.67
  5. Step 5: Solve for x
    x = 67,555,258.67/8,226.02
  6. Step 6: Final answer
    x = 8,212.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.