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Finding the Fourth Proportional to 13,665.92, 18,859.24 and 8,288.34

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Solution

The fourth proportional to 13,665.92, 18,859.24 and 8,288.34 is: 11,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.92 : 18,859.24 = 8,288.34 : x
  2. Step 2: Convert to fraction form
    13,665.92/18,859.24 = 8,288.34/x
  3. Step 3: Cross multiply
    13,665.92x = 18,859.24 × 8,288.34
  4. Step 4: Simplify right side
    13,665.92x = 156,311,793.26
  5. Step 5: Solve for x
    x = 156,311,793.26/13,665.92
  6. Step 6: Final answer
    x = 11,438.07

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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.