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Finding the Fourth Proportional to 1,350.74, 2,027.01 and 912.23

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Solution

The fourth proportional to 1,350.74, 2,027.01 and 912.23 is: 1,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.74 : 2,027.01 = 912.23 : x
  2. Step 2: Convert to fraction form
    1,350.74/2,027.01 = 912.23/x
  3. Step 3: Cross multiply
    1,350.74x = 2,027.01 × 912.23
  4. Step 4: Simplify right side
    1,350.74x = 1,849,099.33
  5. Step 5: Solve for x
    x = 1,849,099.33/1,350.74
  6. Step 6: Final answer
    x = 1,368.95

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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.