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Finding the Fourth Proportional to 14,493.12, 20,001 and 8,119.98

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Solution

The fourth proportional to 14,493.12, 20,001 and 8,119.98 is: 11,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.12 : 20,001 = 8,119.98 : x
  2. Step 2: Convert to fraction form
    14,493.12/20,001 = 8,119.98/x
  3. Step 3: Cross multiply
    14,493.12x = 20,001 × 8,119.98
  4. Step 4: Simplify right side
    14,493.12x = 162,407,719.98
  5. Step 5: Solve for x
    x = 162,407,719.98/14,493.12
  6. Step 6: Final answer
    x = 11,205.85

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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.