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Finding the Fourth Proportional to 1,903.78, 2,617.12 and 1,637.24

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Solution

The fourth proportional to 1,903.78, 2,617.12 and 1,637.24 is: 2,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.78 : 2,617.12 = 1,637.24 : x
  2. Step 2: Convert to fraction form
    1,903.78/2,617.12 = 1,637.24/x
  3. Step 3: Cross multiply
    1,903.78x = 2,617.12 × 1,637.24
  4. Step 4: Simplify right side
    1,903.78x = 4,284,853.55
  5. Step 5: Solve for x
    x = 4,284,853.55/1,903.78
  6. Step 6: Final answer
    x = 2,250.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.