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Finding the Fourth Proportional to 7,839.02, 11,751.24 and 2,641.25

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Solution

The fourth proportional to 7,839.02, 11,751.24 and 2,641.25 is: 3,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.02 : 11,751.24 = 2,641.25 : x
  2. Step 2: Convert to fraction form
    7,839.02/11,751.24 = 2,641.25/x
  3. Step 3: Cross multiply
    7,839.02x = 11,751.24 × 2,641.25
  4. Step 4: Simplify right side
    7,839.02x = 31,037,962.65
  5. Step 5: Solve for x
    x = 31,037,962.65/7,839.02
  6. Step 6: Final answer
    x = 3,959.42

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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.