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Finding the Fourth Proportional to 6,661.78, 9,991.28 and 2,501.62

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Solution

The fourth proportional to 6,661.78, 9,991.28 and 2,501.62 is: 3,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.78 : 9,991.28 = 2,501.62 : x
  2. Step 2: Convert to fraction form
    6,661.78/9,991.28 = 2,501.62/x
  3. Step 3: Cross multiply
    6,661.78x = 9,991.28 × 2,501.62
  4. Step 4: Simplify right side
    6,661.78x = 24,994,367.15
  5. Step 5: Solve for x
    x = 24,994,367.15/6,661.78
  6. Step 6: Final answer
    x = 3,751.91

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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.