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Finding the Fourth Proportional to 3,658, 5,489.52 and 3,170.56

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Solution

The fourth proportional to 3,658, 5,489.52 and 3,170.56 is: 4,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658 : 5,489.52 = 3,170.56 : x
  2. Step 2: Convert to fraction form
    3,658/5,489.52 = 3,170.56/x
  3. Step 3: Cross multiply
    3,658x = 5,489.52 × 3,170.56
  4. Step 4: Simplify right side
    3,658x = 17,404,852.53
  5. Step 5: Solve for x
    x = 17,404,852.53/3,658
  6. Step 6: Final answer
    x = 4,758.02

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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.