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Finding the Fourth Proportional to 5,689.85, 8,534.30 and 1,991.79

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Solution

The fourth proportional to 5,689.85, 8,534.30 and 1,991.79 is: 2,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.85 : 8,534.30 = 1,991.79 : x
  2. Step 2: Convert to fraction form
    5,689.85/8,534.30 = 1,991.79/x
  3. Step 3: Cross multiply
    5,689.85x = 8,534.30 × 1,991.79
  4. Step 4: Simplify right side
    5,689.85x = 16,998,523.44
  5. Step 5: Solve for x
    x = 16,998,523.44/5,689.85
  6. Step 6: Final answer
    x = 2,987.52

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1.5x scale

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.