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Finding the Fourth Proportional to 13,464.46, 20,199.90 and 4,230.46

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Solution

The fourth proportional to 13,464.46, 20,199.90 and 4,230.46 is: 6,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.46 : 20,199.90 = 4,230.46 : x
  2. Step 2: Convert to fraction form
    13,464.46/20,199.90 = 4,230.46/x
  3. Step 3: Cross multiply
    13,464.46x = 20,199.90 × 4,230.46
  4. Step 4: Simplify right side
    13,464.46x = 85,454,868.95
  5. Step 5: Solve for x
    x = 85,454,868.95/13,464.46
  6. Step 6: Final answer
    x = 6,346.70

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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.