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Finding the Fourth Proportional to 1,912.29, 2,866.14 and 988.26

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Solution

The fourth proportional to 1,912.29, 2,866.14 and 988.26 is: 1,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.29 : 2,866.14 = 988.26 : x
  2. Step 2: Convert to fraction form
    1,912.29/2,866.14 = 988.26/x
  3. Step 3: Cross multiply
    1,912.29x = 2,866.14 × 988.26
  4. Step 4: Simplify right side
    1,912.29x = 2,832,491.52
  5. Step 5: Solve for x
    x = 2,832,491.52/1,912.29
  6. Step 6: Final answer
    x = 1,481.20

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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.