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Finding the Fourth Proportional to 15,172.85, 22,772.03 and 7,784.43

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Solution

The fourth proportional to 15,172.85, 22,772.03 and 7,784.43 is: 11,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.85 : 22,772.03 = 7,784.43 : x
  2. Step 2: Convert to fraction form
    15,172.85/22,772.03 = 7,784.43/x
  3. Step 3: Cross multiply
    15,172.85x = 22,772.03 × 7,784.43
  4. Step 4: Simplify right side
    15,172.85x = 177,267,273.49
  5. Step 5: Solve for x
    x = 177,267,273.49/15,172.85
  6. Step 6: Final answer
    x = 11,683.19

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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.