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Finding the Fourth Proportional to 1,867.38, 2,798.49 and 943.55

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Solution

The fourth proportional to 1,867.38, 2,798.49 and 943.55 is: 1,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.38 : 2,798.49 = 943.55 : x
  2. Step 2: Convert to fraction form
    1,867.38/2,798.49 = 943.55/x
  3. Step 3: Cross multiply
    1,867.38x = 2,798.49 × 943.55
  4. Step 4: Simplify right side
    1,867.38x = 2,640,501.25
  5. Step 5: Solve for x
    x = 2,640,501.25/1,867.38
  6. Step 6: Final answer
    x = 1,414.02

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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.