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Finding the Fourth Proportional to 6,801, 9,385.38 and 4,008.20

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Solution

The fourth proportional to 6,801, 9,385.38 and 4,008.20 is: 5,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801 : 9,385.38 = 4,008.20 : x
  2. Step 2: Convert to fraction form
    6,801/9,385.38 = 4,008.20/x
  3. Step 3: Cross multiply
    6,801x = 9,385.38 × 4,008.20
  4. Step 4: Simplify right side
    6,801x = 37,618,480.12
  5. Step 5: Solve for x
    x = 37,618,480.12/6,801
  6. Step 6: Final answer
    x = 5,531.32

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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.