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Finding the Fourth Proportional to 13,383.84, 20,049.84 and 6,463.20

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Solution

The fourth proportional to 13,383.84, 20,049.84 and 6,463.20 is: 9,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.84 : 20,049.84 = 6,463.20 : x
  2. Step 2: Convert to fraction form
    13,383.84/20,049.84 = 6,463.20/x
  3. Step 3: Cross multiply
    13,383.84x = 20,049.84 × 6,463.20
  4. Step 4: Simplify right side
    13,383.84x = 129,586,125.89
  5. Step 5: Solve for x
    x = 129,586,125.89/13,383.84
  6. Step 6: Final answer
    x = 9,682.28

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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.