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Finding the Fourth Proportional to 7,739, 11,609.20 and 2,192.40

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Solution

The fourth proportional to 7,739, 11,609.20 and 2,192.40 is: 3,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739 : 11,609.20 = 2,192.40 : x
  2. Step 2: Convert to fraction form
    7,739/11,609.20 = 2,192.40/x
  3. Step 3: Cross multiply
    7,739x = 11,609.20 × 2,192.40
  4. Step 4: Simplify right side
    7,739x = 25,452,010.08
  5. Step 5: Solve for x
    x = 25,452,010.08/7,739
  6. Step 6: Final answer
    x = 3,288.80

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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.