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Finding the Fourth Proportional to 3,469.92, 4,788.47 and 1,876.56

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Solution

The fourth proportional to 3,469.92, 4,788.47 and 1,876.56 is: 2,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.92 : 4,788.47 = 1,876.56 : x
  2. Step 2: Convert to fraction form
    3,469.92/4,788.47 = 1,876.56/x
  3. Step 3: Cross multiply
    3,469.92x = 4,788.47 × 1,876.56
  4. Step 4: Simplify right side
    3,469.92x = 8,985,851.26
  5. Step 5: Solve for x
    x = 8,985,851.26/3,469.92
  6. Step 6: Final answer
    x = 2,589.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.