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Finding the Fourth Proportional to 1,944.30, 2,917.62 and 774.10

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Solution

The fourth proportional to 1,944.30, 2,917.62 and 774.10 is: 1,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.30 : 2,917.62 = 774.10 : x
  2. Step 2: Convert to fraction form
    1,944.30/2,917.62 = 774.10/x
  3. Step 3: Cross multiply
    1,944.30x = 2,917.62 × 774.10
  4. Step 4: Simplify right side
    1,944.30x = 2,258,529.64
  5. Step 5: Solve for x
    x = 2,258,529.64/1,944.30
  6. Step 6: Final answer
    x = 1,161.62

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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.