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Finding the Fourth Proportional to 5,168.66, 7,135.20 and 3,306.74

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Solution

The fourth proportional to 5,168.66, 7,135.20 and 3,306.74 is: 4,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.66 : 7,135.20 = 3,306.74 : x
  2. Step 2: Convert to fraction form
    5,168.66/7,135.20 = 3,306.74/x
  3. Step 3: Cross multiply
    5,168.66x = 7,135.20 × 3,306.74
  4. Step 4: Simplify right side
    5,168.66x = 23,594,251.25
  5. Step 5: Solve for x
    x = 23,594,251.25/5,168.66
  6. Step 6: Final answer
    x = 4,564.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.