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Finding the Fourth Proportional to 7,771.78, 11,659.82 and 3,095.07

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Solution

The fourth proportional to 7,771.78, 11,659.82 and 3,095.07 is: 4,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.78 : 11,659.82 = 3,095.07 : x
  2. Step 2: Convert to fraction form
    7,771.78/11,659.82 = 3,095.07/x
  3. Step 3: Cross multiply
    7,771.78x = 11,659.82 × 3,095.07
  4. Step 4: Simplify right side
    7,771.78x = 36,087,958.80
  5. Step 5: Solve for x
    x = 36,087,958.80/7,771.78
  6. Step 6: Final answer
    x = 4,643.46

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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.