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Finding the Fourth Proportional to 13,722.32, 20,591.68 and 5,931.12

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Solution

The fourth proportional to 13,722.32, 20,591.68 and 5,931.12 is: 8,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.32 : 20,591.68 = 5,931.12 : x
  2. Step 2: Convert to fraction form
    13,722.32/20,591.68 = 5,931.12/x
  3. Step 3: Cross multiply
    13,722.32x = 20,591.68 × 5,931.12
  4. Step 4: Simplify right side
    13,722.32x = 122,131,725.08
  5. Step 5: Solve for x
    x = 122,131,725.08/13,722.32
  6. Step 6: Final answer
    x = 8,900.22

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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.