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Finding the Fourth Proportional to 2,946.20, 4,418.20 and 997.88

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Solution

The fourth proportional to 2,946.20, 4,418.20 and 997.88 is: 1,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.20 : 4,418.20 = 997.88 : x
  2. Step 2: Convert to fraction form
    2,946.20/4,418.20 = 997.88/x
  3. Step 3: Cross multiply
    2,946.20x = 4,418.20 × 997.88
  4. Step 4: Simplify right side
    2,946.20x = 4,408,833.42
  5. Step 5: Solve for x
    x = 4,408,833.42/2,946.20
  6. Step 6: Final answer
    x = 1,496.45

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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.