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Finding the Fourth Proportional to 1,949.11, 2,923.73 and 974.86

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Solution

The fourth proportional to 1,949.11, 2,923.73 and 974.86 is: 1,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.11 : 2,923.73 = 974.86 : x
  2. Step 2: Convert to fraction form
    1,949.11/2,923.73 = 974.86/x
  3. Step 3: Cross multiply
    1,949.11x = 2,923.73 × 974.86
  4. Step 4: Simplify right side
    1,949.11x = 2,850,227.43
  5. Step 5: Solve for x
    x = 2,850,227.43/1,949.11
  6. Step 6: Final answer
    x = 1,462.32

Related Problems

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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.