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Finding the Fourth Proportional to 1,808.84, 2,711.40 and 1,027.19

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Solution

The fourth proportional to 1,808.84, 2,711.40 and 1,027.19 is: 1,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.84 : 2,711.40 = 1,027.19 : x
  2. Step 2: Convert to fraction form
    1,808.84/2,711.40 = 1,027.19/x
  3. Step 3: Cross multiply
    1,808.84x = 2,711.40 × 1,027.19
  4. Step 4: Simplify right side
    1,808.84x = 2,785,109.41
  5. Step 5: Solve for x
    x = 2,785,109.41/1,808.84
  6. Step 6: Final answer
    x = 1,539.73

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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.