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Finding the Fourth Proportional to 6,891.10, 9,509.81 and 3,906.86

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Solution

The fourth proportional to 6,891.10, 9,509.81 and 3,906.86 is: 5,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.10 : 9,509.81 = 3,906.86 : x
  2. Step 2: Convert to fraction form
    6,891.10/9,509.81 = 3,906.86/x
  3. Step 3: Cross multiply
    6,891.10x = 9,509.81 × 3,906.86
  4. Step 4: Simplify right side
    6,891.10x = 37,153,496.30
  5. Step 5: Solve for x
    x = 37,153,496.30/6,891.10
  6. Step 6: Final answer
    x = 5,391.52

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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.