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Finding the Fourth Proportional to 13,723.92, 18,943.92 and 8,346.48

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Solution

The fourth proportional to 13,723.92, 18,943.92 and 8,346.48 is: 11,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.92 : 18,943.92 = 8,346.48 : x
  2. Step 2: Convert to fraction form
    13,723.92/18,943.92 = 8,346.48/x
  3. Step 3: Cross multiply
    13,723.92x = 18,943.92 × 8,346.48
  4. Step 4: Simplify right side
    13,723.92x = 158,115,049.40
  5. Step 5: Solve for x
    x = 158,115,049.40/13,723.92
  6. Step 6: Final answer
    x = 11,521.13

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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.