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Finding the Fourth Proportional to 7,842.26, 11,765.01 and 2,648.06

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Solution

The fourth proportional to 7,842.26, 11,765.01 and 2,648.06 is: 3,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.26 : 11,765.01 = 2,648.06 : x
  2. Step 2: Convert to fraction form
    7,842.26/11,765.01 = 2,648.06/x
  3. Step 3: Cross multiply
    7,842.26x = 11,765.01 × 2,648.06
  4. Step 4: Simplify right side
    7,842.26x = 31,154,452.38
  5. Step 5: Solve for x
    x = 31,154,452.38/7,842.26
  6. Step 6: Final answer
    x = 3,972.64

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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.