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Finding the Fourth Proportional to 7,765.74, 11,639.34 and 2,829.65

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Solution

The fourth proportional to 7,765.74, 11,639.34 and 2,829.65 is: 4,241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.74 : 11,639.34 = 2,829.65 : x
  2. Step 2: Convert to fraction form
    7,765.74/11,639.34 = 2,829.65/x
  3. Step 3: Cross multiply
    7,765.74x = 11,639.34 × 2,829.65
  4. Step 4: Simplify right side
    7,765.74x = 32,935,200.23
  5. Step 5: Solve for x
    x = 32,935,200.23/7,765.74
  6. Step 6: Final answer
    x = 4,241.09

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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.