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Finding the Fourth Proportional to 5,195.67, 7,785.12 and 3,114.72

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Solution

The fourth proportional to 5,195.67, 7,785.12 and 3,114.72 is: 4,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.67 : 7,785.12 = 3,114.72 : x
  2. Step 2: Convert to fraction form
    5,195.67/7,785.12 = 3,114.72/x
  3. Step 3: Cross multiply
    5,195.67x = 7,785.12 × 3,114.72
  4. Step 4: Simplify right side
    5,195.67x = 24,248,468.97
  5. Step 5: Solve for x
    x = 24,248,468.97/5,195.67
  6. Step 6: Final answer
    x = 4,667.05

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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.