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Finding the Fourth Proportional to 20,959.91, 31,444.86 and 6,169.31

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Solution

The fourth proportional to 20,959.91, 31,444.86 and 6,169.31 is: 9,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.91 : 31,444.86 = 6,169.31 : x
  2. Step 2: Convert to fraction form
    20,959.91/31,444.86 = 6,169.31/x
  3. Step 3: Cross multiply
    20,959.91x = 31,444.86 × 6,169.31
  4. Step 4: Simplify right side
    20,959.91x = 193,993,089.25
  5. Step 5: Solve for x
    x = 193,993,089.25/20,959.91
  6. Step 6: Final answer
    x = 9,255.44

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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.