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Finding the Fourth Proportional to 13,514, 20,280 and 5,200.88

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Solution

The fourth proportional to 13,514, 20,280 and 5,200.88 is: 7,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514 : 20,280 = 5,200.88 : x
  2. Step 2: Convert to fraction form
    13,514/20,280 = 5,200.88/x
  3. Step 3: Cross multiply
    13,514x = 20,280 × 5,200.88
  4. Step 4: Simplify right side
    13,514x = 105,473,846.40
  5. Step 5: Solve for x
    x = 105,473,846.40/13,514
  6. Step 6: Final answer
    x = 7,804.78

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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.