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Finding the Fourth Proportional to 5,689.80, 8,534.70 and 3,940.20

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Solution

The fourth proportional to 5,689.80, 8,534.70 and 3,940.20 is: 5,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.80 : 8,534.70 = 3,940.20 : x
  2. Step 2: Convert to fraction form
    5,689.80/8,534.70 = 3,940.20/x
  3. Step 3: Cross multiply
    5,689.80x = 8,534.70 × 3,940.20
  4. Step 4: Simplify right side
    5,689.80x = 33,628,424.94
  5. Step 5: Solve for x
    x = 33,628,424.94/5,689.80
  6. Step 6: Final answer
    x = 5,910.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.