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Finding the Fourth Proportional to 2,976.71, 4,467.11 and 1,028.91

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Solution

The fourth proportional to 2,976.71, 4,467.11 and 1,028.91 is: 1,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.71 : 4,467.11 = 1,028.91 : x
  2. Step 2: Convert to fraction form
    2,976.71/4,467.11 = 1,028.91/x
  3. Step 3: Cross multiply
    2,976.71x = 4,467.11 × 1,028.91
  4. Step 4: Simplify right side
    2,976.71x = 4,596,249.01
  5. Step 5: Solve for x
    x = 4,596,249.01/2,976.71
  6. Step 6: Final answer
    x = 1,544.07

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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.