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Finding the Fourth Proportional to 2,256.33, 3,384.50 and 1,711.87

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Solution

The fourth proportional to 2,256.33, 3,384.50 and 1,711.87 is: 2,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.33 : 3,384.50 = 1,711.87 : x
  2. Step 2: Convert to fraction form
    2,256.33/3,384.50 = 1,711.87/x
  3. Step 3: Cross multiply
    2,256.33x = 3,384.50 × 1,711.87
  4. Step 4: Simplify right side
    2,256.33x = 5,793,824.02
  5. Step 5: Solve for x
    x = 5,793,824.02/2,256.33
  6. Step 6: Final answer
    x = 2,567.81

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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.