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Finding the Fourth Proportional to 1,813.90, 2,502.98 and 1,027.78

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Solution

The fourth proportional to 1,813.90, 2,502.98 and 1,027.78 is: 1,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.90 : 2,502.98 = 1,027.78 : x
  2. Step 2: Convert to fraction form
    1,813.90/2,502.98 = 1,027.78/x
  3. Step 3: Cross multiply
    1,813.90x = 2,502.98 × 1,027.78
  4. Step 4: Simplify right side
    1,813.90x = 2,572,512.78
  5. Step 5: Solve for x
    x = 2,572,512.78/1,813.90
  6. Step 6: Final answer
    x = 1,418.22

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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.