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Finding the Fourth Proportional to 13,929, 20,895.44 and 4,069

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Solution

The fourth proportional to 13,929, 20,895.44 and 4,069 is: 6,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929 : 20,895.44 = 4,069 : x
  2. Step 2: Convert to fraction form
    13,929/20,895.44 = 4,069/x
  3. Step 3: Cross multiply
    13,929x = 20,895.44 × 4,069
  4. Step 4: Simplify right side
    13,929x = 85,023,545.36
  5. Step 5: Solve for x
    x = 85,023,545.36/13,929
  6. Step 6: Final answer
    x = 6,104.07

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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.