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Finding the Fourth Proportional to 3,222.60, 4,833.90 and 914.12

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Solution

The fourth proportional to 3,222.60, 4,833.90 and 914.12 is: 1,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.60 : 4,833.90 = 914.12 : x
  2. Step 2: Convert to fraction form
    3,222.60/4,833.90 = 914.12/x
  3. Step 3: Cross multiply
    3,222.60x = 4,833.90 × 914.12
  4. Step 4: Simplify right side
    3,222.60x = 4,418,764.67
  5. Step 5: Solve for x
    x = 4,418,764.67/3,222.60
  6. Step 6: Final answer
    x = 1,371.18

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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.