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Finding the Fourth Proportional to 31,886.84, 47,829.18 and 8,512.04

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Solution

The fourth proportional to 31,886.84, 47,829.18 and 8,512.04 is: 12,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.84 : 47,829.18 = 8,512.04 : x
  2. Step 2: Convert to fraction form
    31,886.84/47,829.18 = 8,512.04/x
  3. Step 3: Cross multiply
    31,886.84x = 47,829.18 × 8,512.04
  4. Step 4: Simplify right side
    31,886.84x = 407,123,893.33
  5. Step 5: Solve for x
    x = 407,123,893.33/31,886.84
  6. Step 6: Final answer
    x = 12,767.77

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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.