Home / 3,764.50-5,643-1,297.64

Finding the Fourth Proportional to 3,764.50, 5,643 and 1,297.64

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Solution

The fourth proportional to 3,764.50, 5,643 and 1,297.64 is: 1,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.50 : 5,643 = 1,297.64 : x
  2. Step 2: Convert to fraction form
    3,764.50/5,643 = 1,297.64/x
  3. Step 3: Cross multiply
    3,764.50x = 5,643 × 1,297.64
  4. Step 4: Simplify right side
    3,764.50x = 7,322,582.52
  5. Step 5: Solve for x
    x = 7,322,582.52/3,764.50
  6. Step 6: Final answer
    x = 1,945.17

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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.