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Finding the Fourth Proportional to 2,910, 4,367.70 and 1,350.84

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Solution

The fourth proportional to 2,910, 4,367.70 and 1,350.84 is: 2,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910 : 4,367.70 = 1,350.84 : x
  2. Step 2: Convert to fraction form
    2,910/4,367.70 = 1,350.84/x
  3. Step 3: Cross multiply
    2,910x = 4,367.70 × 1,350.84
  4. Step 4: Simplify right side
    2,910x = 5,900,063.87
  5. Step 5: Solve for x
    x = 5,900,063.87/2,910
  6. Step 6: Final answer
    x = 2,027.51

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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.