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Finding the Fourth Proportional to 16,920, 23,344.20 and 10,956.24

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Solution

The fourth proportional to 16,920, 23,344.20 and 10,956.24 is: 15,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,920 : 23,344.20 = 10,956.24 : x
  2. Step 2: Convert to fraction form
    16,920/23,344.20 = 10,956.24/x
  3. Step 3: Cross multiply
    16,920x = 23,344.20 × 10,956.24
  4. Step 4: Simplify right side
    16,920x = 255,764,657.81
  5. Step 5: Solve for x
    x = 255,764,657.81/16,920
  6. Step 6: Final answer
    x = 15,116.11

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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.