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Finding the Fourth Proportional to 6,864.11, 10,207.86 and 6,645.41

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Solution

The fourth proportional to 6,864.11, 10,207.86 and 6,645.41 is: 9,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.11 : 10,207.86 = 6,645.41 : x
  2. Step 2: Convert to fraction form
    6,864.11/10,207.86 = 6,645.41/x
  3. Step 3: Cross multiply
    6,864.11x = 10,207.86 × 6,645.41
  4. Step 4: Simplify right side
    6,864.11x = 67,835,414.92
  5. Step 5: Solve for x
    x = 67,835,414.92/6,864.11
  6. Step 6: Final answer
    x = 9,882.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.