Home / 1,965.20-2,944.83-1,314.77

Finding the Fourth Proportional to 1,965.20, 2,944.83 and 1,314.77

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Solution

The fourth proportional to 1,965.20, 2,944.83 and 1,314.77 is: 1,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.20 : 2,944.83 = 1,314.77 : x
  2. Step 2: Convert to fraction form
    1,965.20/2,944.83 = 1,314.77/x
  3. Step 3: Cross multiply
    1,965.20x = 2,944.83 × 1,314.77
  4. Step 4: Simplify right side
    1,965.20x = 3,871,774.14
  5. Step 5: Solve for x
    x = 3,871,774.14/1,965.20
  6. Step 6: Final answer
    x = 1,970.17

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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.