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Finding the Fourth Proportional to 20,524.79, 30,787.00 and 6,484.81

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Solution

The fourth proportional to 20,524.79, 30,787.00 and 6,484.81 is: 9,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.79 : 30,787.00 = 6,484.81 : x
  2. Step 2: Convert to fraction form
    20,524.79/30,787.00 = 6,484.81/x
  3. Step 3: Cross multiply
    20,524.79x = 30,787.00 × 6,484.81
  4. Step 4: Simplify right side
    20,524.79x = 199,647,906.23
  5. Step 5: Solve for x
    x = 199,647,906.23/20,524.79
  6. Step 6: Final answer
    x = 9,727.16

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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.