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Finding the Fourth Proportional to 4,747.79, 7,112.54 and 2,661.48

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Solution

The fourth proportional to 4,747.79, 7,112.54 and 2,661.48 is: 3,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.79 : 7,112.54 = 2,661.48 : x
  2. Step 2: Convert to fraction form
    4,747.79/7,112.54 = 2,661.48/x
  3. Step 3: Cross multiply
    4,747.79x = 7,112.54 × 2,661.48
  4. Step 4: Simplify right side
    4,747.79x = 18,929,869.65
  5. Step 5: Solve for x
    x = 18,929,869.65/4,747.79
  6. Step 6: Final answer
    x = 3,987.09

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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.