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Finding the Fourth Proportional to 8,384.81, 12,558.08 and 4,005.35

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Solution

The fourth proportional to 8,384.81, 12,558.08 and 4,005.35 is: 5,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.81 : 12,558.08 = 4,005.35 : x
  2. Step 2: Convert to fraction form
    8,384.81/12,558.08 = 4,005.35/x
  3. Step 3: Cross multiply
    8,384.81x = 12,558.08 × 4,005.35
  4. Step 4: Simplify right side
    8,384.81x = 50,299,505.73
  5. Step 5: Solve for x
    x = 50,299,505.73/8,384.81
  6. Step 6: Final answer
    x = 5,998.88

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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.