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Finding the Fourth Proportional to 15,683, 21,642.38 and 8,609.26

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Solution

The fourth proportional to 15,683, 21,642.38 and 8,609.26 is: 11,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683 : 21,642.38 = 8,609.26 : x
  2. Step 2: Convert to fraction form
    15,683/21,642.38 = 8,609.26/x
  3. Step 3: Cross multiply
    15,683x = 21,642.38 × 8,609.26
  4. Step 4: Simplify right side
    15,683x = 186,324,876.44
  5. Step 5: Solve for x
    x = 186,324,876.44/15,683
  6. Step 6: Final answer
    x = 11,880.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.