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Finding the Fourth Proportional to 7,770.62, 11,656.62 and 2,223.86

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Solution

The fourth proportional to 7,770.62, 11,656.62 and 2,223.86 is: 3,335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.62 : 11,656.62 = 2,223.86 : x
  2. Step 2: Convert to fraction form
    7,770.62/11,656.62 = 2,223.86/x
  3. Step 3: Cross multiply
    7,770.62x = 11,656.62 × 2,223.86
  4. Step 4: Simplify right side
    7,770.62x = 25,922,632.67
  5. Step 5: Solve for x
    x = 25,922,632.67/7,770.62
  6. Step 6: Final answer
    x = 3,335.98

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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.