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Finding the Fourth Proportional to 7,908.32, 11,864.54 and 2,978

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Solution

The fourth proportional to 7,908.32, 11,864.54 and 2,978 is: 4,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.32 : 11,864.54 = 2,978 : x
  2. Step 2: Convert to fraction form
    7,908.32/11,864.54 = 2,978/x
  3. Step 3: Cross multiply
    7,908.32x = 11,864.54 × 2,978
  4. Step 4: Simplify right side
    7,908.32x = 35,332,600.12
  5. Step 5: Solve for x
    x = 35,332,600.12/7,908.32
  6. Step 6: Final answer
    x = 4,467.78

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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.