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Finding the Fourth Proportional to 7,471.98, 11,208.96 and 2,540.30

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Solution

The fourth proportional to 7,471.98, 11,208.96 and 2,540.30 is: 3,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.98 : 11,208.96 = 2,540.30 : x
  2. Step 2: Convert to fraction form
    7,471.98/11,208.96 = 2,540.30/x
  3. Step 3: Cross multiply
    7,471.98x = 11,208.96 × 2,540.30
  4. Step 4: Simplify right side
    7,471.98x = 28,474,065.04
  5. Step 5: Solve for x
    x = 28,474,065.04/7,471.98
  6. Step 6: Final answer
    x = 3,810.78

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1.5x scale

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.