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Finding the Fourth Proportional to 6,711.89, 9,266.94 and 4,197.78

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Solution

The fourth proportional to 6,711.89, 9,266.94 and 4,197.78 is: 5,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.89 : 9,266.94 = 4,197.78 : x
  2. Step 2: Convert to fraction form
    6,711.89/9,266.94 = 4,197.78/x
  3. Step 3: Cross multiply
    6,711.89x = 9,266.94 × 4,197.78
  4. Step 4: Simplify right side
    6,711.89x = 38,900,575.39
  5. Step 5: Solve for x
    x = 38,900,575.39/6,711.89
  6. Step 6: Final answer
    x = 5,795.78

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Half scale
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Double scale
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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.