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Finding the Fourth Proportional to 7,954, 11,929.40 and 2,760.08

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Solution

The fourth proportional to 7,954, 11,929.40 and 2,760.08 is: 4,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954 : 11,929.40 = 2,760.08 : x
  2. Step 2: Convert to fraction form
    7,954/11,929.40 = 2,760.08/x
  3. Step 3: Cross multiply
    7,954x = 11,929.40 × 2,760.08
  4. Step 4: Simplify right side
    7,954x = 32,926,098.35
  5. Step 5: Solve for x
    x = 32,926,098.35/7,954
  6. Step 6: Final answer
    x = 4,139.56

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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.