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Finding the Fourth Proportional to 3,382.72, 5,066.51 and 1,956.21

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Solution

The fourth proportional to 3,382.72, 5,066.51 and 1,956.21 is: 2,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.72 : 5,066.51 = 1,956.21 : x
  2. Step 2: Convert to fraction form
    3,382.72/5,066.51 = 1,956.21/x
  3. Step 3: Cross multiply
    3,382.72x = 5,066.51 × 1,956.21
  4. Step 4: Simplify right side
    3,382.72x = 9,911,122.41
  5. Step 5: Solve for x
    x = 9,911,122.41/3,382.72
  6. Step 6: Final answer
    x = 2,929.93

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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.