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Finding the Fourth Proportional to 3,381.65, 4,666.51 and 1,965.41

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Solution

The fourth proportional to 3,381.65, 4,666.51 and 1,965.41 is: 2,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.65 : 4,666.51 = 1,965.41 : x
  2. Step 2: Convert to fraction form
    3,381.65/4,666.51 = 1,965.41/x
  3. Step 3: Cross multiply
    3,381.65x = 4,666.51 × 1,965.41
  4. Step 4: Simplify right side
    3,381.65x = 9,171,628.29
  5. Step 5: Solve for x
    x = 9,171,628.29/3,381.65
  6. Step 6: Final answer
    x = 2,712.18

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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.