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Finding the Fourth Proportional to 7,772.88, 11,659.59 and 2,578.62

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Solution

The fourth proportional to 7,772.88, 11,659.59 and 2,578.62 is: 3,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.88 : 11,659.59 = 2,578.62 : x
  2. Step 2: Convert to fraction form
    7,772.88/11,659.59 = 2,578.62/x
  3. Step 3: Cross multiply
    7,772.88x = 11,659.59 × 2,578.62
  4. Step 4: Simplify right side
    7,772.88x = 30,065,651.97
  5. Step 5: Solve for x
    x = 30,065,651.97/7,772.88
  6. Step 6: Final answer
    x = 3,868.02

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1.5x scale

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.