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Finding the Fourth Proportional to 6,641.36, 9,165 and 3,847.12

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Solution

The fourth proportional to 6,641.36, 9,165 and 3,847.12 is: 5,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.36 : 9,165 = 3,847.12 : x
  2. Step 2: Convert to fraction form
    6,641.36/9,165 = 3,847.12/x
  3. Step 3: Cross multiply
    6,641.36x = 9,165 × 3,847.12
  4. Step 4: Simplify right side
    6,641.36x = 35,258,854.80
  5. Step 5: Solve for x
    x = 35,258,854.80/6,641.36
  6. Step 6: Final answer
    x = 5,308.98

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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.