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Finding the Fourth Proportional to 19,708.92, 27,184.77 and 11,745

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Solution

The fourth proportional to 19,708.92, 27,184.77 and 11,745 is: 16,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.92 : 27,184.77 = 11,745 : x
  2. Step 2: Convert to fraction form
    19,708.92/27,184.77 = 11,745/x
  3. Step 3: Cross multiply
    19,708.92x = 27,184.77 × 11,745
  4. Step 4: Simplify right side
    19,708.92x = 319,285,123.65
  5. Step 5: Solve for x
    x = 319,285,123.65/19,708.92
  6. Step 6: Final answer
    x = 16,200.03

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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.