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Finding the Fourth Proportional to 7,310.30, 10,965.45 and 2,045.30

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Solution

The fourth proportional to 7,310.30, 10,965.45 and 2,045.30 is: 3,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.30 : 10,965.45 = 2,045.30 : x
  2. Step 2: Convert to fraction form
    7,310.30/10,965.45 = 2,045.30/x
  3. Step 3: Cross multiply
    7,310.30x = 10,965.45 × 2,045.30
  4. Step 4: Simplify right side
    7,310.30x = 22,427,634.89
  5. Step 5: Solve for x
    x = 22,427,634.89/7,310.30
  6. Step 6: Final answer
    x = 3,067.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.