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Finding the Fourth Proportional to 7,324.96, 10,985.20 and 2,644.40

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Solution

The fourth proportional to 7,324.96, 10,985.20 and 2,644.40 is: 3,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.96 : 10,985.20 = 2,644.40 : x
  2. Step 2: Convert to fraction form
    7,324.96/10,985.20 = 2,644.40/x
  3. Step 3: Cross multiply
    7,324.96x = 10,985.20 × 2,644.40
  4. Step 4: Simplify right side
    7,324.96x = 29,049,262.88
  5. Step 5: Solve for x
    x = 29,049,262.88/7,324.96
  6. Step 6: Final answer
    x = 3,965.79

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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.