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Finding the Fourth Proportional to 4,761.55, 7,142.31 and 1,203.68

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Solution

The fourth proportional to 4,761.55, 7,142.31 and 1,203.68 is: 1,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.55 : 7,142.31 = 1,203.68 : x
  2. Step 2: Convert to fraction form
    4,761.55/7,142.31 = 1,203.68/x
  3. Step 3: Cross multiply
    4,761.55x = 7,142.31 × 1,203.68
  4. Step 4: Simplify right side
    4,761.55x = 8,597,033.38
  5. Step 5: Solve for x
    x = 8,597,033.38/4,761.55
  6. Step 6: Final answer
    x = 1,805.51

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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.