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Finding the Fourth Proportional to 3,243.21, 4,471.64 and 1,916.43

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Solution

The fourth proportional to 3,243.21, 4,471.64 and 1,916.43 is: 2,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.21 : 4,471.64 = 1,916.43 : x
  2. Step 2: Convert to fraction form
    3,243.21/4,471.64 = 1,916.43/x
  3. Step 3: Cross multiply
    3,243.21x = 4,471.64 × 1,916.43
  4. Step 4: Simplify right side
    3,243.21x = 8,569,565.88
  5. Step 5: Solve for x
    x = 8,569,565.88/3,243.21
  6. Step 6: Final answer
    x = 2,642.31

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1.5x scale

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.