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Finding the Fourth Proportional to 20,698, 31,049.92 and 6,653.32

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Solution

The fourth proportional to 20,698, 31,049.92 and 6,653.32 is: 9,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698 : 31,049.92 = 6,653.32 : x
  2. Step 2: Convert to fraction form
    20,698/31,049.92 = 6,653.32/x
  3. Step 3: Cross multiply
    20,698x = 31,049.92 × 6,653.32
  4. Step 4: Simplify right side
    20,698x = 206,585,053.73
  5. Step 5: Solve for x
    x = 206,585,053.73/20,698
  6. Step 6: Final answer
    x = 9,980.92

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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.