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Finding the Fourth Proportional to 6,299.69, 8,691.23 and 6,289.97

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Solution

The fourth proportional to 6,299.69, 8,691.23 and 6,289.97 is: 8,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.69 : 8,691.23 = 6,289.97 : x
  2. Step 2: Convert to fraction form
    6,299.69/8,691.23 = 6,289.97/x
  3. Step 3: Cross multiply
    6,299.69x = 8,691.23 × 6,289.97
  4. Step 4: Simplify right side
    6,299.69x = 54,667,548.23
  5. Step 5: Solve for x
    x = 54,667,548.23/6,299.69
  6. Step 6: Final answer
    x = 8,677.82

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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.