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Finding the Fourth Proportional to 6,810.76, 9,398.85 and 3,826.60

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Solution

The fourth proportional to 6,810.76, 9,398.85 and 3,826.60 is: 5,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.76 : 9,398.85 = 3,826.60 : x
  2. Step 2: Convert to fraction form
    6,810.76/9,398.85 = 3,826.60/x
  3. Step 3: Cross multiply
    6,810.76x = 9,398.85 × 3,826.60
  4. Step 4: Simplify right side
    6,810.76x = 35,965,639.41
  5. Step 5: Solve for x
    x = 35,965,639.41/6,810.76
  6. Step 6: Final answer
    x = 5,280.71

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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.