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Finding the Fourth Proportional to 7,991.53, 11,991.35 and 5,389

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Solution

The fourth proportional to 7,991.53, 11,991.35 and 5,389 is: 8,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.53 : 11,991.35 = 5,389 : x
  2. Step 2: Convert to fraction form
    7,991.53/11,991.35 = 5,389/x
  3. Step 3: Cross multiply
    7,991.53x = 11,991.35 × 5,389
  4. Step 4: Simplify right side
    7,991.53x = 64,621,385.15
  5. Step 5: Solve for x
    x = 64,621,385.15/7,991.53
  6. Step 6: Final answer
    x = 8,086.23

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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.