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Finding the Fourth Proportional to 20,739, 31,108.50 and 6,888

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Solution

The fourth proportional to 20,739, 31,108.50 and 6,888 is: 10,332

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,739 : 31,108.50 = 6,888 : x
  2. Step 2: Convert to fraction form
    20,739/31,108.50 = 6,888/x
  3. Step 3: Cross multiply
    20,739x = 31,108.50 × 6,888
  4. Step 4: Simplify right side
    20,739x = 214,275,348
  5. Step 5: Solve for x
    x = 214,275,348/20,739
  6. Step 6: Final answer
    x = 10,332

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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.