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Finding the Fourth Proportional to 2,110.96, 2,912.56 and 1,364.68

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Solution

The fourth proportional to 2,110.96, 2,912.56 and 1,364.68 is: 1,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.96 : 2,912.56 = 1,364.68 : x
  2. Step 2: Convert to fraction form
    2,110.96/2,912.56 = 1,364.68/x
  3. Step 3: Cross multiply
    2,110.96x = 2,912.56 × 1,364.68
  4. Step 4: Simplify right side
    2,110.96x = 3,974,712.38
  5. Step 5: Solve for x
    x = 3,974,712.38/2,110.96
  6. Step 6: Final answer
    x = 1,882.89

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Why These Related Problems?

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