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Finding the Fourth Proportional to 3,122.88, 4,691.15 and 2,306.40

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Solution

The fourth proportional to 3,122.88, 4,691.15 and 2,306.40 is: 3,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.88 : 4,691.15 = 2,306.40 : x
  2. Step 2: Convert to fraction form
    3,122.88/4,691.15 = 2,306.40/x
  3. Step 3: Cross multiply
    3,122.88x = 4,691.15 × 2,306.40
  4. Step 4: Simplify right side
    3,122.88x = 10,819,656.83
  5. Step 5: Solve for x
    x = 10,819,656.83/3,122.88
  6. Step 6: Final answer
    x = 3,464.64

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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.