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Finding the Fourth Proportional to 13,906.76, 20,855.88 and 5,582.39

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Solution

The fourth proportional to 13,906.76, 20,855.88 and 5,582.39 is: 8,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.76 : 20,855.88 = 5,582.39 : x
  2. Step 2: Convert to fraction form
    13,906.76/20,855.88 = 5,582.39/x
  3. Step 3: Cross multiply
    13,906.76x = 20,855.88 × 5,582.39
  4. Step 4: Simplify right side
    13,906.76x = 116,425,551.67
  5. Step 5: Solve for x
    x = 116,425,551.67/13,906.76
  6. Step 6: Final answer
    x = 8,371.87

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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.