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Finding the Fourth Proportional to 6,614.64, 9,922.86 and 3,108.24

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Solution

The fourth proportional to 6,614.64, 9,922.86 and 3,108.24 is: 4,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.64 : 9,922.86 = 3,108.24 : x
  2. Step 2: Convert to fraction form
    6,614.64/9,922.86 = 3,108.24/x
  3. Step 3: Cross multiply
    6,614.64x = 9,922.86 × 3,108.24
  4. Step 4: Simplify right side
    6,614.64x = 30,842,630.37
  5. Step 5: Solve for x
    x = 30,842,630.37/6,614.64
  6. Step 6: Final answer
    x = 4,662.78

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1.5x scale

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.