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Finding the Fourth Proportional to 19,706.82, 27,177.69 and 12,631.87

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Solution

The fourth proportional to 19,706.82, 27,177.69 and 12,631.87 is: 17,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.82 : 27,177.69 = 12,631.87 : x
  2. Step 2: Convert to fraction form
    19,706.82/27,177.69 = 12,631.87/x
  3. Step 3: Cross multiply
    19,706.82x = 27,177.69 × 12,631.87
  4. Step 4: Simplify right side
    19,706.82x = 343,305,046.98
  5. Step 5: Solve for x
    x = 343,305,046.98/19,706.82
  6. Step 6: Final answer
    x = 17,420.62

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1.5x scale

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.