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Finding the Fourth Proportional to 11,198.87, 16,800.74 and 3,407.48

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Solution

The fourth proportional to 11,198.87, 16,800.74 and 3,407.48 is: 5,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.87 : 16,800.74 = 3,407.48 : x
  2. Step 2: Convert to fraction form
    11,198.87/16,800.74 = 3,407.48/x
  3. Step 3: Cross multiply
    11,198.87x = 16,800.74 × 3,407.48
  4. Step 4: Simplify right side
    11,198.87x = 57,248,264.36
  5. Step 5: Solve for x
    x = 57,248,264.36/11,198.87
  6. Step 6: Final answer
    x = 5,111.97

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1.5x scale

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.