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Finding the Fourth Proportional to 7,076.87, 9,764.65 and 4,091.61

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Solution

The fourth proportional to 7,076.87, 9,764.65 and 4,091.61 is: 5,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.87 : 9,764.65 = 4,091.61 : x
  2. Step 2: Convert to fraction form
    7,076.87/9,764.65 = 4,091.61/x
  3. Step 3: Cross multiply
    7,076.87x = 9,764.65 × 4,091.61
  4. Step 4: Simplify right side
    7,076.87x = 39,953,181.32
  5. Step 5: Solve for x
    x = 39,953,181.32/7,076.87
  6. Step 6: Final answer
    x = 5,645.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.