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Finding the Fourth Proportional to 20,675, 31,012.52 and 6,083

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Solution

The fourth proportional to 20,675, 31,012.52 and 6,083 is: 9,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675 : 31,012.52 = 6,083 : x
  2. Step 2: Convert to fraction form
    20,675/31,012.52 = 6,083/x
  3. Step 3: Cross multiply
    20,675x = 31,012.52 × 6,083
  4. Step 4: Simplify right side
    20,675x = 188,649,159.16
  5. Step 5: Solve for x
    x = 188,649,159.16/20,675
  6. Step 6: Final answer
    x = 9,124.51

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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.