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Finding the Fourth Proportional to 3,134.76, 4,703.37 and 1,286.76

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Solution

The fourth proportional to 3,134.76, 4,703.37 and 1,286.76 is: 1,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.76 : 4,703.37 = 1,286.76 : x
  2. Step 2: Convert to fraction form
    3,134.76/4,703.37 = 1,286.76/x
  3. Step 3: Cross multiply
    3,134.76x = 4,703.37 × 1,286.76
  4. Step 4: Simplify right side
    3,134.76x = 6,052,108.38
  5. Step 5: Solve for x
    x = 6,052,108.38/3,134.76
  6. Step 6: Final answer
    x = 1,930.64

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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.