Home / 7,713.87-11,568.41-2,782.86

Finding the Fourth Proportional to 7,713.87, 11,568.41 and 2,782.86

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Solution

The fourth proportional to 7,713.87, 11,568.41 and 2,782.86 is: 4,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.87 : 11,568.41 = 2,782.86 : x
  2. Step 2: Convert to fraction form
    7,713.87/11,568.41 = 2,782.86/x
  3. Step 3: Cross multiply
    7,713.87x = 11,568.41 × 2,782.86
  4. Step 4: Simplify right side
    7,713.87x = 32,193,275.84
  5. Step 5: Solve for x
    x = 32,193,275.84/7,713.87
  6. Step 6: Final answer
    x = 4,173.43

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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.