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Finding the Fourth Proportional to 6,865.81, 9,474.77 and 3,882.24

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Solution

The fourth proportional to 6,865.81, 9,474.77 and 3,882.24 is: 5,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.81 : 9,474.77 = 3,882.24 : x
  2. Step 2: Convert to fraction form
    6,865.81/9,474.77 = 3,882.24/x
  3. Step 3: Cross multiply
    6,865.81x = 9,474.77 × 3,882.24
  4. Step 4: Simplify right side
    6,865.81x = 36,783,331.08
  5. Step 5: Solve for x
    x = 36,783,331.08/6,865.81
  6. Step 6: Final answer
    x = 5,357.46

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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.