Home / 1,965.24-2,942.28-1,480.32

Finding the Fourth Proportional to 1,965.24, 2,942.28 and 1,480.32

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Solution

The fourth proportional to 1,965.24, 2,942.28 and 1,480.32 is: 2,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.24 : 2,942.28 = 1,480.32 : x
  2. Step 2: Convert to fraction form
    1,965.24/2,942.28 = 1,480.32/x
  3. Step 3: Cross multiply
    1,965.24x = 2,942.28 × 1,480.32
  4. Step 4: Simplify right side
    1,965.24x = 4,355,515.93
  5. Step 5: Solve for x
    x = 4,355,515.93/1,965.24
  6. Step 6: Final answer
    x = 2,216.28

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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.