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Finding the Fourth Proportional to 13,686.73, 18,889.13 and 8,309.14

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Solution

The fourth proportional to 13,686.73, 18,889.13 and 8,309.14 is: 11,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.73 : 18,889.13 = 8,309.14 : x
  2. Step 2: Convert to fraction form
    13,686.73/18,889.13 = 8,309.14/x
  3. Step 3: Cross multiply
    13,686.73x = 18,889.13 × 8,309.14
  4. Step 4: Simplify right side
    13,686.73x = 156,952,399.20
  5. Step 5: Solve for x
    x = 156,952,399.20/13,686.73
  6. Step 6: Final answer
    x = 11,467.49

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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.