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Finding the Fourth Proportional to 3,038.93, 4,193.13 and 1,976.88

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Solution

The fourth proportional to 3,038.93, 4,193.13 and 1,976.88 is: 2,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.93 : 4,193.13 = 1,976.88 : x
  2. Step 2: Convert to fraction form
    3,038.93/4,193.13 = 1,976.88/x
  3. Step 3: Cross multiply
    3,038.93x = 4,193.13 × 1,976.88
  4. Step 4: Simplify right side
    3,038.93x = 8,289,314.83
  5. Step 5: Solve for x
    x = 8,289,314.83/3,038.93
  6. Step 6: Final answer
    x = 2,727.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.