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Finding the Fourth Proportional to 13,881.70, 20,842.08 and 8,044.84

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Solution

The fourth proportional to 13,881.70, 20,842.08 and 8,044.84 is: 12,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.70 : 20,842.08 = 8,044.84 : x
  2. Step 2: Convert to fraction form
    13,881.70/20,842.08 = 8,044.84/x
  3. Step 3: Cross multiply
    13,881.70x = 20,842.08 × 8,044.84
  4. Step 4: Simplify right side
    13,881.70x = 167,671,198.87
  5. Step 5: Solve for x
    x = 167,671,198.87/13,881.70
  6. Step 6: Final answer
    x = 12,078.58

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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.