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Finding the Fourth Proportional to 5,169.50, 7,134 and 2,811.68

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Solution

The fourth proportional to 5,169.50, 7,134 and 2,811.68 is: 3,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.50 : 7,134 = 2,811.68 : x
  2. Step 2: Convert to fraction form
    5,169.50/7,134 = 2,811.68/x
  3. Step 3: Cross multiply
    5,169.50x = 7,134 × 2,811.68
  4. Step 4: Simplify right side
    5,169.50x = 20,058,525.12
  5. Step 5: Solve for x
    x = 20,058,525.12/5,169.50
  6. Step 6: Final answer
    x = 3,880.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.