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Finding the Fourth Proportional to 6,865.11, 9,473.75 and 3,880.85

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Solution

The fourth proportional to 6,865.11, 9,473.75 and 3,880.85 is: 5,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.11 : 9,473.75 = 3,880.85 : x
  2. Step 2: Convert to fraction form
    6,865.11/9,473.75 = 3,880.85/x
  3. Step 3: Cross multiply
    6,865.11x = 9,473.75 × 3,880.85
  4. Step 4: Simplify right side
    6,865.11x = 36,766,165.02
  5. Step 5: Solve for x
    x = 36,766,165.02/6,865.11
  6. Step 6: Final answer
    x = 5,355.51

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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.