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Finding the Fourth Proportional to 6,811.12, 9,414.12 and 6,286.24

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Solution

The fourth proportional to 6,811.12, 9,414.12 and 6,286.24 is: 8,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.12 : 9,414.12 = 6,286.24 : x
  2. Step 2: Convert to fraction form
    6,811.12/9,414.12 = 6,286.24/x
  3. Step 3: Cross multiply
    6,811.12x = 9,414.12 × 6,286.24
  4. Step 4: Simplify right side
    6,811.12x = 59,179,417.71
  5. Step 5: Solve for x
    x = 59,179,417.71/6,811.12
  6. Step 6: Final answer
    x = 8,688.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.