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Finding the Fourth Proportional to 13,881.60, 20,764.80 and 12,499.20

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Solution

The fourth proportional to 13,881.60, 20,764.80 and 12,499.20 is: 18,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.60 : 20,764.80 = 12,499.20 : x
  2. Step 2: Convert to fraction form
    13,881.60/20,764.80 = 12,499.20/x
  3. Step 3: Cross multiply
    13,881.60x = 20,764.80 × 12,499.20
  4. Step 4: Simplify right side
    13,881.60x = 259,543,388.16
  5. Step 5: Solve for x
    x = 259,543,388.16/13,881.60
  6. Step 6: Final answer
    x = 18,696.94

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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.