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Finding the Fourth Proportional to 1,813.64, 2,502.83 and 1,027.67

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Solution

The fourth proportional to 1,813.64, 2,502.83 and 1,027.67 is: 1,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.64 : 2,502.83 = 1,027.67 : x
  2. Step 2: Convert to fraction form
    1,813.64/2,502.83 = 1,027.67/x
  3. Step 3: Cross multiply
    1,813.64x = 2,502.83 × 1,027.67
  4. Step 4: Simplify right side
    1,813.64x = 2,572,083.31
  5. Step 5: Solve for x
    x = 2,572,083.31/1,813.64
  6. Step 6: Final answer
    x = 1,418.19

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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.