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Finding the Fourth Proportional to 10,135.62, 15,175.44 and 5,194.62

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Solution

The fourth proportional to 10,135.62, 15,175.44 and 5,194.62 is: 7,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.62 : 15,175.44 = 5,194.62 : x
  2. Step 2: Convert to fraction form
    10,135.62/15,175.44 = 5,194.62/x
  3. Step 3: Cross multiply
    10,135.62x = 15,175.44 × 5,194.62
  4. Step 4: Simplify right side
    10,135.62x = 78,830,644.13
  5. Step 5: Solve for x
    x = 78,830,644.13/10,135.62
  6. Step 6: Final answer
    x = 7,777.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.