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Finding the Fourth Proportional to 20,722, 31,005.24 and 12,894.16

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Solution

The fourth proportional to 20,722, 31,005.24 and 12,894.16 is: 19,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722 : 31,005.24 = 12,894.16 : x
  2. Step 2: Convert to fraction form
    20,722/31,005.24 = 12,894.16/x
  3. Step 3: Cross multiply
    20,722x = 31,005.24 × 12,894.16
  4. Step 4: Simplify right side
    20,722x = 399,786,525.40
  5. Step 5: Solve for x
    x = 399,786,525.40/20,722
  6. Step 6: Final answer
    x = 19,292.85

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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.