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Finding the Fourth Proportional to 3,456.72, 4,771.29 and 1,965.47

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Solution

The fourth proportional to 3,456.72, 4,771.29 and 1,965.47 is: 2,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.72 : 4,771.29 = 1,965.47 : x
  2. Step 2: Convert to fraction form
    3,456.72/4,771.29 = 1,965.47/x
  3. Step 3: Cross multiply
    3,456.72x = 4,771.29 × 1,965.47
  4. Step 4: Simplify right side
    3,456.72x = 9,377,803.50
  5. Step 5: Solve for x
    x = 9,377,803.50/3,456.72
  6. Step 6: Final answer
    x = 2,712.92

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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.