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Finding the Fourth Proportional to 13,912.98, 20,869.50 and 4,052.50

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Solution

The fourth proportional to 13,912.98, 20,869.50 and 4,052.50 is: 6,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.98 : 20,869.50 = 4,052.50 : x
  2. Step 2: Convert to fraction form
    13,912.98/20,869.50 = 4,052.50/x
  3. Step 3: Cross multiply
    13,912.98x = 20,869.50 × 4,052.50
  4. Step 4: Simplify right side
    13,912.98x = 84,573,648.75
  5. Step 5: Solve for x
    x = 84,573,648.75/13,912.98
  6. Step 6: Final answer
    x = 6,078.76

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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.