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Finding the Fourth Proportional to 1,949.92, 2,922.40 and 974.72

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Solution

The fourth proportional to 1,949.92, 2,922.40 and 974.72 is: 1,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.92 : 2,922.40 = 974.72 : x
  2. Step 2: Convert to fraction form
    1,949.92/2,922.40 = 974.72/x
  3. Step 3: Cross multiply
    1,949.92x = 2,922.40 × 974.72
  4. Step 4: Simplify right side
    1,949.92x = 2,848,521.73
  5. Step 5: Solve for x
    x = 2,848,521.73/1,949.92
  6. Step 6: Final answer
    x = 1,460.84

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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.