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Finding the Fourth Proportional to 20,698.74, 31,036.74 and 8,206.11

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Solution

The fourth proportional to 20,698.74, 31,036.74 and 8,206.11 is: 12,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.74 : 31,036.74 = 8,206.11 : x
  2. Step 2: Convert to fraction form
    20,698.74/31,036.74 = 8,206.11/x
  3. Step 3: Cross multiply
    20,698.74x = 31,036.74 × 8,206.11
  4. Step 4: Simplify right side
    20,698.74x = 254,690,902.48
  5. Step 5: Solve for x
    x = 254,690,902.48/20,698.74
  6. Step 6: Final answer
    x = 12,304.66

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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.