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Finding the Fourth Proportional to 13,956.32, 20,906.16 and 6,915.12

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Solution

The fourth proportional to 13,956.32, 20,906.16 and 6,915.12 is: 10,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.32 : 20,906.16 = 6,915.12 : x
  2. Step 2: Convert to fraction form
    13,956.32/20,906.16 = 6,915.12/x
  3. Step 3: Cross multiply
    13,956.32x = 20,906.16 × 6,915.12
  4. Step 4: Simplify right side
    13,956.32x = 144,568,605.14
  5. Step 5: Solve for x
    x = 144,568,605.14/13,956.32
  6. Step 6: Final answer
    x = 10,358.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.