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Finding the Fourth Proportional to 20,855.54, 31,292.16 and 13,838

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Solution

The fourth proportional to 20,855.54, 31,292.16 and 13,838 is: 20,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855.54 : 31,292.16 = 13,838 : x
  2. Step 2: Convert to fraction form
    20,855.54/31,292.16 = 13,838/x
  3. Step 3: Cross multiply
    20,855.54x = 31,292.16 × 13,838
  4. Step 4: Simplify right side
    20,855.54x = 433,020,910.08
  5. Step 5: Solve for x
    x = 433,020,910.08/20,855.54
  6. Step 6: Final answer
    x = 20,762.87

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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.