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Finding the Fourth Proportional to 1,813.62, 2,502.72 and 1,027.71

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Solution

The fourth proportional to 1,813.62, 2,502.72 and 1,027.71 is: 1,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.62 : 2,502.72 = 1,027.71 : x
  2. Step 2: Convert to fraction form
    1,813.62/2,502.72 = 1,027.71/x
  3. Step 3: Cross multiply
    1,813.62x = 2,502.72 × 1,027.71
  4. Step 4: Simplify right side
    1,813.62x = 2,572,070.37
  5. Step 5: Solve for x
    x = 2,572,070.37/1,813.62
  6. Step 6: Final answer
    x = 1,418.20

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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.