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Finding the Fourth Proportional to 31,885.84, 47,827.68 and 8,511.04

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Solution

The fourth proportional to 31,885.84, 47,827.68 and 8,511.04 is: 12,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.84 : 47,827.68 = 8,511.04 : x
  2. Step 2: Convert to fraction form
    31,885.84/47,827.68 = 8,511.04/x
  3. Step 3: Cross multiply
    31,885.84x = 47,827.68 × 8,511.04
  4. Step 4: Simplify right side
    31,885.84x = 407,063,297.59
  5. Step 5: Solve for x
    x = 407,063,297.59/31,885.84
  6. Step 6: Final answer
    x = 12,766.27

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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.