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Finding the Fourth Proportional to 2,993.22, 4,488.39 and 912.69

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Solution

The fourth proportional to 2,993.22, 4,488.39 and 912.69 is: 1,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.22 : 4,488.39 = 912.69 : x
  2. Step 2: Convert to fraction form
    2,993.22/4,488.39 = 912.69/x
  3. Step 3: Cross multiply
    2,993.22x = 4,488.39 × 912.69
  4. Step 4: Simplify right side
    2,993.22x = 4,096,508.67
  5. Step 5: Solve for x
    x = 4,096,508.67/2,993.22
  6. Step 6: Final answer
    x = 1,368.60

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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.