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Finding the Fourth Proportional to 7,906.66, 11,866.10 and 2,980.78

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Solution

The fourth proportional to 7,906.66, 11,866.10 and 2,980.78 is: 4,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.66 : 11,866.10 = 2,980.78 : x
  2. Step 2: Convert to fraction form
    7,906.66/11,866.10 = 2,980.78/x
  3. Step 3: Cross multiply
    7,906.66x = 11,866.10 × 2,980.78
  4. Step 4: Simplify right side
    7,906.66x = 35,370,233.56
  5. Step 5: Solve for x
    x = 35,370,233.56/7,906.66
  6. Step 6: Final answer
    x = 4,473.47

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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.