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Finding the Fourth Proportional to 7,772.24, 11,658.08 and 2,578.08

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Solution

The fourth proportional to 7,772.24, 11,658.08 and 2,578.08 is: 3,867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.24 : 11,658.08 = 2,578.08 : x
  2. Step 2: Convert to fraction form
    7,772.24/11,658.08 = 2,578.08/x
  3. Step 3: Cross multiply
    7,772.24x = 11,658.08 × 2,578.08
  4. Step 4: Simplify right side
    7,772.24x = 30,055,462.89
  5. Step 5: Solve for x
    x = 30,055,462.89/7,772.24
  6. Step 6: Final answer
    x = 3,867.03

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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.