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Finding the Fourth Proportional to 5,105.72, 7,045.74 and 2,867.60

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Solution

The fourth proportional to 5,105.72, 7,045.74 and 2,867.60 is: 3,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.72 : 7,045.74 = 2,867.60 : x
  2. Step 2: Convert to fraction form
    5,105.72/7,045.74 = 2,867.60/x
  3. Step 3: Cross multiply
    5,105.72x = 7,045.74 × 2,867.60
  4. Step 4: Simplify right side
    5,105.72x = 20,204,364.02
  5. Step 5: Solve for x
    x = 20,204,364.02/5,105.72
  6. Step 6: Final answer
    x = 3,957.20

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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.