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Finding the Fourth Proportional to 14,597.12, 20,142 and 8,222.64

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Solution

The fourth proportional to 14,597.12, 20,142 and 8,222.64 is: 11,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.12 : 20,142 = 8,222.64 : x
  2. Step 2: Convert to fraction form
    14,597.12/20,142 = 8,222.64/x
  3. Step 3: Cross multiply
    14,597.12x = 20,142 × 8,222.64
  4. Step 4: Simplify right side
    14,597.12x = 165,620,414.88
  5. Step 5: Solve for x
    x = 165,620,414.88/14,597.12
  6. Step 6: Final answer
    x = 11,346.10

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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.