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Finding the Fourth Proportional to 7,138.67, 10,710.20 and 3,193.25

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Solution

The fourth proportional to 7,138.67, 10,710.20 and 3,193.25 is: 4,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.67 : 10,710.20 = 3,193.25 : x
  2. Step 2: Convert to fraction form
    7,138.67/10,710.20 = 3,193.25/x
  3. Step 3: Cross multiply
    7,138.67x = 10,710.20 × 3,193.25
  4. Step 4: Simplify right side
    7,138.67x = 34,200,276.63
  5. Step 5: Solve for x
    x = 34,200,276.63/7,138.67
  6. Step 6: Final answer
    x = 4,790.85

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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.