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Finding the Fourth Proportional to 3,472.75, 5,207.10 and 1,828.90

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Solution

The fourth proportional to 3,472.75, 5,207.10 and 1,828.90 is: 2,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.75 : 5,207.10 = 1,828.90 : x
  2. Step 2: Convert to fraction form
    3,472.75/5,207.10 = 1,828.90/x
  3. Step 3: Cross multiply
    3,472.75x = 5,207.10 × 1,828.90
  4. Step 4: Simplify right side
    3,472.75x = 9,523,265.19
  5. Step 5: Solve for x
    x = 9,523,265.19/3,472.75
  6. Step 6: Final answer
    x = 2,742.28

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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.