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Finding the Fourth Proportional to 7,811.93, 11,718.81 and 2,744.56

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Solution

The fourth proportional to 7,811.93, 11,718.81 and 2,744.56 is: 4,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.93 : 11,718.81 = 2,744.56 : x
  2. Step 2: Convert to fraction form
    7,811.93/11,718.81 = 2,744.56/x
  3. Step 3: Cross multiply
    7,811.93x = 11,718.81 × 2,744.56
  4. Step 4: Simplify right side
    7,811.93x = 32,163,003.50
  5. Step 5: Solve for x
    x = 32,163,003.50/7,811.93
  6. Step 6: Final answer
    x = 4,117.17

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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.