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Finding the Fourth Proportional to 20,986.98, 31,470.53 and 7,650.54

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Solution

The fourth proportional to 20,986.98, 31,470.53 and 7,650.54 is: 11,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986.98 : 31,470.53 = 7,650.54 : x
  2. Step 2: Convert to fraction form
    20,986.98/31,470.53 = 7,650.54/x
  3. Step 3: Cross multiply
    20,986.98x = 31,470.53 × 7,650.54
  4. Step 4: Simplify right side
    20,986.98x = 240,766,510.33
  5. Step 5: Solve for x
    x = 240,766,510.33/20,986.98
  6. Step 6: Final answer
    x = 11,472.18

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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.