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Finding the Fourth Proportional to 7,278.50, 10,919.40 and 2,661.50

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Solution

The fourth proportional to 7,278.50, 10,919.40 and 2,661.50 is: 3,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.50 : 10,919.40 = 2,661.50 : x
  2. Step 2: Convert to fraction form
    7,278.50/10,919.40 = 2,661.50/x
  3. Step 3: Cross multiply
    7,278.50x = 10,919.40 × 2,661.50
  4. Step 4: Simplify right side
    7,278.50x = 29,061,983.10
  5. Step 5: Solve for x
    x = 29,061,983.10/7,278.50
  6. Step 6: Final answer
    x = 3,992.85

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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.