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Finding the Fourth Proportional to 3,486.53, 5,230.47 and 1,538.75

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Solution

The fourth proportional to 3,486.53, 5,230.47 and 1,538.75 is: 2,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.53 : 5,230.47 = 1,538.75 : x
  2. Step 2: Convert to fraction form
    3,486.53/5,230.47 = 1,538.75/x
  3. Step 3: Cross multiply
    3,486.53x = 5,230.47 × 1,538.75
  4. Step 4: Simplify right side
    3,486.53x = 8,048,404.56
  5. Step 5: Solve for x
    x = 8,048,404.56/3,486.53
  6. Step 6: Final answer
    x = 2,308.43

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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.