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Finding the Fourth Proportional to 7,777.44, 11,666.88 and 2,230.56

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Solution

The fourth proportional to 7,777.44, 11,666.88 and 2,230.56 is: 3,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.44 : 11,666.88 = 2,230.56 : x
  2. Step 2: Convert to fraction form
    7,777.44/11,666.88 = 2,230.56/x
  3. Step 3: Cross multiply
    7,777.44x = 11,666.88 × 2,230.56
  4. Step 4: Simplify right side
    7,777.44x = 26,023,675.85
  5. Step 5: Solve for x
    x = 26,023,675.85/7,777.44
  6. Step 6: Final answer
    x = 3,346.05

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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.