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Finding the Fourth Proportional to 13,467.39, 18,582.18 and 7,801.80

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Solution

The fourth proportional to 13,467.39, 18,582.18 and 7,801.80 is: 10,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.39 : 18,582.18 = 7,801.80 : x
  2. Step 2: Convert to fraction form
    13,467.39/18,582.18 = 7,801.80/x
  3. Step 3: Cross multiply
    13,467.39x = 18,582.18 × 7,801.80
  4. Step 4: Simplify right side
    13,467.39x = 144,974,451.92
  5. Step 5: Solve for x
    x = 144,974,451.92/13,467.39
  6. Step 6: Final answer
    x = 10,764.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.