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Finding the Fourth Proportional to 5,019.50, 6,926.92 and 2,811.50

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Solution

The fourth proportional to 5,019.50, 6,926.92 and 2,811.50 is: 3,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.50 : 6,926.92 = 2,811.50 : x
  2. Step 2: Convert to fraction form
    5,019.50/6,926.92 = 2,811.50/x
  3. Step 3: Cross multiply
    5,019.50x = 6,926.92 × 2,811.50
  4. Step 4: Simplify right side
    5,019.50x = 19,475,035.58
  5. Step 5: Solve for x
    x = 19,475,035.58/5,019.50
  6. Step 6: Final answer
    x = 3,879.88

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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.