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Finding the Fourth Proportional to 31,893.84, 47,839.68 and 8,519.04

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Solution

The fourth proportional to 31,893.84, 47,839.68 and 8,519.04 is: 12,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.84 : 47,839.68 = 8,519.04 : x
  2. Step 2: Convert to fraction form
    31,893.84/47,839.68 = 8,519.04/x
  3. Step 3: Cross multiply
    31,893.84x = 47,839.68 × 8,519.04
  4. Step 4: Simplify right side
    31,893.84x = 407,548,147.51
  5. Step 5: Solve for x
    x = 407,548,147.51/31,893.84
  6. Step 6: Final answer
    x = 12,778.27

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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.