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Finding the Fourth Proportional to 3,242.96, 4,475.03 and 1,916.42

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Solution

The fourth proportional to 3,242.96, 4,475.03 and 1,916.42 is: 2,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.96 : 4,475.03 = 1,916.42 : x
  2. Step 2: Convert to fraction form
    3,242.96/4,475.03 = 1,916.42/x
  3. Step 3: Cross multiply
    3,242.96x = 4,475.03 × 1,916.42
  4. Step 4: Simplify right side
    3,242.96x = 8,576,005.04
  5. Step 5: Solve for x
    x = 8,576,005.04/3,242.96
  6. Step 6: Final answer
    x = 2,644.50

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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.