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Finding the Fourth Proportional to 7,471.02, 11,206.80 and 2,540.82

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Solution

The fourth proportional to 7,471.02, 11,206.80 and 2,540.82 is: 3,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.02 : 11,206.80 = 2,540.82 : x
  2. Step 2: Convert to fraction form
    7,471.02/11,206.80 = 2,540.82/x
  3. Step 3: Cross multiply
    7,471.02x = 11,206.80 × 2,540.82
  4. Step 4: Simplify right side
    7,471.02x = 28,474,461.58
  5. Step 5: Solve for x
    x = 28,474,461.58/7,471.02
  6. Step 6: Final answer
    x = 3,811.32

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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.