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Finding the Fourth Proportional to 8,101.44, 12,157.56 and 5,470.38

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Solution

The fourth proportional to 8,101.44, 12,157.56 and 5,470.38 is: 8,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.44 : 12,157.56 = 5,470.38 : x
  2. Step 2: Convert to fraction form
    8,101.44/12,157.56 = 5,470.38/x
  3. Step 3: Cross multiply
    8,101.44x = 12,157.56 × 5,470.38
  4. Step 4: Simplify right side
    8,101.44x = 66,506,473.07
  5. Step 5: Solve for x
    x = 66,506,473.07/8,101.44
  6. Step 6: Final answer
    x = 8,209.22

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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.