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Finding the Fourth Proportional to 13,910.58, 20,851.29 and 5,139.90

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Solution

The fourth proportional to 13,910.58, 20,851.29 and 5,139.90 is: 7,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.58 : 20,851.29 = 5,139.90 : x
  2. Step 2: Convert to fraction form
    13,910.58/20,851.29 = 5,139.90/x
  3. Step 3: Cross multiply
    13,910.58x = 20,851.29 × 5,139.90
  4. Step 4: Simplify right side
    13,910.58x = 107,173,545.47
  5. Step 5: Solve for x
    x = 107,173,545.47/13,910.58
  6. Step 6: Final answer
    x = 7,704.46

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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.