Home / 1,965.84-2,944.08-1,099.68

Finding the Fourth Proportional to 1,965.84, 2,944.08 and 1,099.68

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Solution

The fourth proportional to 1,965.84, 2,944.08 and 1,099.68 is: 1,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.84 : 2,944.08 = 1,099.68 : x
  2. Step 2: Convert to fraction form
    1,965.84/2,944.08 = 1,099.68/x
  3. Step 3: Cross multiply
    1,965.84x = 2,944.08 × 1,099.68
  4. Step 4: Simplify right side
    1,965.84x = 3,237,545.89
  5. Step 5: Solve for x
    x = 3,237,545.89/1,965.84
  6. Step 6: Final answer
    x = 1,646.90

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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.