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Finding the Fourth Proportional to 5,486.94, 8,231.26 and 1,788.31

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Solution

The fourth proportional to 5,486.94, 8,231.26 and 1,788.31 is: 2,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.94 : 8,231.26 = 1,788.31 : x
  2. Step 2: Convert to fraction form
    5,486.94/8,231.26 = 1,788.31/x
  3. Step 3: Cross multiply
    5,486.94x = 8,231.26 × 1,788.31
  4. Step 4: Simplify right side
    5,486.94x = 14,720,044.57
  5. Step 5: Solve for x
    x = 14,720,044.57/5,486.94
  6. Step 6: Final answer
    x = 2,682.74

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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.