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Finding the Fourth Proportional to 1,916, 2,644.40 and 1,449.44

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Solution

The fourth proportional to 1,916, 2,644.40 and 1,449.44 is: 2,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916 : 2,644.40 = 1,449.44 : x
  2. Step 2: Convert to fraction form
    1,916/2,644.40 = 1,449.44/x
  3. Step 3: Cross multiply
    1,916x = 2,644.40 × 1,449.44
  4. Step 4: Simplify right side
    1,916x = 3,832,899.14
  5. Step 5: Solve for x
    x = 3,832,899.14/1,916
  6. Step 6: Final answer
    x = 2,000.47

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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.