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Finding the Fourth Proportional to 6,766.28, 9,343.84 and 6,398.14

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Solution

The fourth proportional to 6,766.28, 9,343.84 and 6,398.14 is: 8,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.28 : 9,343.84 = 6,398.14 : x
  2. Step 2: Convert to fraction form
    6,766.28/9,343.84 = 6,398.14/x
  3. Step 3: Cross multiply
    6,766.28x = 9,343.84 × 6,398.14
  4. Step 4: Simplify right side
    6,766.28x = 59,783,196.46
  5. Step 5: Solve for x
    x = 59,783,196.46/6,766.28
  6. Step 6: Final answer
    x = 8,835.46

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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.