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Finding the Fourth Proportional to 7,770.70, 11,642.87 and 4,801.75

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Solution

The fourth proportional to 7,770.70, 11,642.87 and 4,801.75 is: 7,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.70 : 11,642.87 = 4,801.75 : x
  2. Step 2: Convert to fraction form
    7,770.70/11,642.87 = 4,801.75/x
  3. Step 3: Cross multiply
    7,770.70x = 11,642.87 × 4,801.75
  4. Step 4: Simplify right side
    7,770.70x = 55,906,133.92
  5. Step 5: Solve for x
    x = 55,906,133.92/7,770.70
  6. Step 6: Final answer
    x = 7,194.48

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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.