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Finding the Fourth Proportional to 2,146.02, 3,219.03 and 991.62

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Solution

The fourth proportional to 2,146.02, 3,219.03 and 991.62 is: 1,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.02 : 3,219.03 = 991.62 : x
  2. Step 2: Convert to fraction form
    2,146.02/3,219.03 = 991.62/x
  3. Step 3: Cross multiply
    2,146.02x = 3,219.03 × 991.62
  4. Step 4: Simplify right side
    2,146.02x = 3,192,054.53
  5. Step 5: Solve for x
    x = 3,192,054.53/2,146.02
  6. Step 6: Final answer
    x = 1,487.43

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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.