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Finding the Fourth Proportional to 2,110.71, 2,912.19 and 1,364.70

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Solution

The fourth proportional to 2,110.71, 2,912.19 and 1,364.70 is: 1,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.71 : 2,912.19 = 1,364.70 : x
  2. Step 2: Convert to fraction form
    2,110.71/2,912.19 = 1,364.70/x
  3. Step 3: Cross multiply
    2,110.71x = 2,912.19 × 1,364.70
  4. Step 4: Simplify right side
    2,110.71x = 3,974,265.69
  5. Step 5: Solve for x
    x = 3,974,265.69/2,110.71
  6. Step 6: Final answer
    x = 1,882.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.