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Finding the Fourth Proportional to 3,381.78, 4,666.50 and 1,965.20

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Solution

The fourth proportional to 3,381.78, 4,666.50 and 1,965.20 is: 2,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.78 : 4,666.50 = 1,965.20 : x
  2. Step 2: Convert to fraction form
    3,381.78/4,666.50 = 1,965.20/x
  3. Step 3: Cross multiply
    3,381.78x = 4,666.50 × 1,965.20
  4. Step 4: Simplify right side
    3,381.78x = 9,170,582.47
  5. Step 5: Solve for x
    x = 9,170,582.47/3,381.78
  6. Step 6: Final answer
    x = 2,711.76

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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.