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Finding the Fourth Proportional to 6,882.86, 9,497.66 and 3,898.10

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Solution

The fourth proportional to 6,882.86, 9,497.66 and 3,898.10 is: 5,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.86 : 9,497.66 = 3,898.10 : x
  2. Step 2: Convert to fraction form
    6,882.86/9,497.66 = 3,898.10/x
  3. Step 3: Cross multiply
    6,882.86x = 9,497.66 × 3,898.10
  4. Step 4: Simplify right side
    6,882.86x = 37,022,761.47
  5. Step 5: Solve for x
    x = 37,022,761.47/6,882.86
  6. Step 6: Final answer
    x = 5,378.98

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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.