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Finding the Fourth Proportional to 7,443.60, 11,157.90 and 2,760.60

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Solution

The fourth proportional to 7,443.60, 11,157.90 and 2,760.60 is: 4,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.60 : 11,157.90 = 2,760.60 : x
  2. Step 2: Convert to fraction form
    7,443.60/11,157.90 = 2,760.60/x
  3. Step 3: Cross multiply
    7,443.60x = 11,157.90 × 2,760.60
  4. Step 4: Simplify right side
    7,443.60x = 30,802,498.74
  5. Step 5: Solve for x
    x = 30,802,498.74/7,443.60
  6. Step 6: Final answer
    x = 4,138.12

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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.