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Finding the Fourth Proportional to 3,659.34, 5,493.75 and 3,142.68

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Solution

The fourth proportional to 3,659.34, 5,493.75 and 3,142.68 is: 4,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.34 : 5,493.75 = 3,142.68 : x
  2. Step 2: Convert to fraction form
    3,659.34/5,493.75 = 3,142.68/x
  3. Step 3: Cross multiply
    3,659.34x = 5,493.75 × 3,142.68
  4. Step 4: Simplify right side
    3,659.34x = 17,265,098.25
  5. Step 5: Solve for x
    x = 17,265,098.25/3,659.34
  6. Step 6: Final answer
    x = 4,718.09

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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.