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Finding the Fourth Proportional to 14,796.32, 20,419.20 and 8,423.84

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Solution

The fourth proportional to 14,796.32, 20,419.20 and 8,423.84 is: 11,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.32 : 20,419.20 = 8,423.84 : x
  2. Step 2: Convert to fraction form
    14,796.32/20,419.20 = 8,423.84/x
  3. Step 3: Cross multiply
    14,796.32x = 20,419.20 × 8,423.84
  4. Step 4: Simplify right side
    14,796.32x = 172,008,073.73
  5. Step 5: Solve for x
    x = 172,008,073.73/14,796.32
  6. Step 6: Final answer
    x = 11,625.06

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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.