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Finding the Fourth Proportional to 3,478.14, 5,212.89 and 1,747.26

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Solution

The fourth proportional to 3,478.14, 5,212.89 and 1,747.26 is: 2,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.14 : 5,212.89 = 1,747.26 : x
  2. Step 2: Convert to fraction form
    3,478.14/5,212.89 = 1,747.26/x
  3. Step 3: Cross multiply
    3,478.14x = 5,212.89 × 1,747.26
  4. Step 4: Simplify right side
    3,478.14x = 9,108,274.18
  5. Step 5: Solve for x
    x = 9,108,274.18/3,478.14
  6. Step 6: Final answer
    x = 2,618.72

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1.5x scale

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.