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Finding the Fourth Proportional to 7,859.99, 11,766.59 and 5,078.55

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Solution

The fourth proportional to 7,859.99, 11,766.59 and 5,078.55 is: 7,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.99 : 11,766.59 = 5,078.55 : x
  2. Step 2: Convert to fraction form
    7,859.99/11,766.59 = 5,078.55/x
  3. Step 3: Cross multiply
    7,859.99x = 11,766.59 × 5,078.55
  4. Step 4: Simplify right side
    7,859.99x = 59,757,215.64
  5. Step 5: Solve for x
    x = 59,757,215.64/7,859.99
  6. Step 6: Final answer
    x = 7,602.71

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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.