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Finding the Fourth Proportional to 13,871.73, 20,815.80 and 5,112.80

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Solution

The fourth proportional to 13,871.73, 20,815.80 and 5,112.80 is: 7,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.73 : 20,815.80 = 5,112.80 : x
  2. Step 2: Convert to fraction form
    13,871.73/20,815.80 = 5,112.80/x
  3. Step 3: Cross multiply
    13,871.73x = 20,815.80 × 5,112.80
  4. Step 4: Simplify right side
    13,871.73x = 106,426,925.69
  5. Step 5: Solve for x
    x = 106,426,925.69/13,871.73
  6. Step 6: Final answer
    x = 7,672.22

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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.