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Finding the Fourth Proportional to 7,770.79, 11,648.49 and 3,087.91

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Solution

The fourth proportional to 7,770.79, 11,648.49 and 3,087.91 is: 4,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.79 : 11,648.49 = 3,087.91 : x
  2. Step 2: Convert to fraction form
    7,770.79/11,648.49 = 3,087.91/x
  3. Step 3: Cross multiply
    7,770.79x = 11,648.49 × 3,087.91
  4. Step 4: Simplify right side
    7,770.79x = 35,969,488.76
  5. Step 5: Solve for x
    x = 35,969,488.76/7,770.79
  6. Step 6: Final answer
    x = 4,628.81

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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.