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Finding the Fourth Proportional to 7,777.78, 11,668.22 and 2,231.17

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Solution

The fourth proportional to 7,777.78, 11,668.22 and 2,231.17 is: 3,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.78 : 11,668.22 = 2,231.17 : x
  2. Step 2: Convert to fraction form
    7,777.78/11,668.22 = 2,231.17/x
  3. Step 3: Cross multiply
    7,777.78x = 11,668.22 × 2,231.17
  4. Step 4: Simplify right side
    7,777.78x = 26,033,782.42
  5. Step 5: Solve for x
    x = 26,033,782.42/7,777.78
  6. Step 6: Final answer
    x = 3,347.20

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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.