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Finding the Fourth Proportional to 12,694.80, 19,047.06 and 5,297.16

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Solution

The fourth proportional to 12,694.80, 19,047.06 and 5,297.16 is: 7,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.80 : 19,047.06 = 5,297.16 : x
  2. Step 2: Convert to fraction form
    12,694.80/19,047.06 = 5,297.16/x
  3. Step 3: Cross multiply
    12,694.80x = 19,047.06 × 5,297.16
  4. Step 4: Simplify right side
    12,694.80x = 100,895,324.35
  5. Step 5: Solve for x
    x = 100,895,324.35/12,694.80
  6. Step 6: Final answer
    x = 7,947.77

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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.