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Finding the Fourth Proportional to 3,107.60, 4,231.52 and 3,107.60

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Solution

The fourth proportional to 3,107.60, 4,231.52 and 3,107.60 is: 4,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.60 : 4,231.52 = 3,107.60 : x
  2. Step 2: Convert to fraction form
    3,107.60/4,231.52 = 3,107.60/x
  3. Step 3: Cross multiply
    3,107.60x = 4,231.52 × 3,107.60
  4. Step 4: Simplify right side
    3,107.60x = 13,149,871.55
  5. Step 5: Solve for x
    x = 13,149,871.55/3,107.60
  6. Step 6: Final answer
    x = 4,231.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.