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Finding the Fourth Proportional to 10,122.72, 13,963.72 and 5,930.16

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Solution

The fourth proportional to 10,122.72, 13,963.72 and 5,930.16 is: 8,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.72 : 13,963.72 = 5,930.16 : x
  2. Step 2: Convert to fraction form
    10,122.72/13,963.72 = 5,930.16/x
  3. Step 3: Cross multiply
    10,122.72x = 13,963.72 × 5,930.16
  4. Step 4: Simplify right side
    10,122.72x = 82,807,093.80
  5. Step 5: Solve for x
    x = 82,807,093.80/10,122.72
  6. Step 6: Final answer
    x = 8,180.32

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