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Finding the Fourth Proportional to 20,795, 31,182.78 and 6,934.28

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Solution

The fourth proportional to 20,795, 31,182.78 and 6,934.28 is: 10,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,795 : 31,182.78 = 6,934.28 : x
  2. Step 2: Convert to fraction form
    20,795/31,182.78 = 6,934.28/x
  3. Step 3: Cross multiply
    20,795x = 31,182.78 × 6,934.28
  4. Step 4: Simplify right side
    20,795x = 216,230,127.70
  5. Step 5: Solve for x
    x = 216,230,127.70/20,795
  6. Step 6: Final answer
    x = 10,398.18

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1.5x scale

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.