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Finding the Fourth Proportional to 6,691.64, 10,022.88 and 4,086.68

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Solution

The fourth proportional to 6,691.64, 10,022.88 and 4,086.68 is: 6,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.64 : 10,022.88 = 4,086.68 : x
  2. Step 2: Convert to fraction form
    6,691.64/10,022.88 = 4,086.68/x
  3. Step 3: Cross multiply
    6,691.64x = 10,022.88 × 4,086.68
  4. Step 4: Simplify right side
    6,691.64x = 40,960,303.24
  5. Step 5: Solve for x
    x = 40,960,303.24/6,691.64
  6. Step 6: Final answer
    x = 6,121.12

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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.