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Finding the Fourth Proportional to 1,788.53, 2,679.21 and 861.35

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Solution

The fourth proportional to 1,788.53, 2,679.21 and 861.35 is: 1,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.53 : 2,679.21 = 861.35 : x
  2. Step 2: Convert to fraction form
    1,788.53/2,679.21 = 861.35/x
  3. Step 3: Cross multiply
    1,788.53x = 2,679.21 × 861.35
  4. Step 4: Simplify right side
    1,788.53x = 2,307,724.14
  5. Step 5: Solve for x
    x = 2,307,724.14/1,788.53
  6. Step 6: Final answer
    x = 1,290.29

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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.