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Finding the Fourth Proportional to 5,153.14, 7,719.45 and 3,840.94

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Solution

The fourth proportional to 5,153.14, 7,719.45 and 3,840.94 is: 5,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.14 : 7,719.45 = 3,840.94 : x
  2. Step 2: Convert to fraction form
    5,153.14/7,719.45 = 3,840.94/x
  3. Step 3: Cross multiply
    5,153.14x = 7,719.45 × 3,840.94
  4. Step 4: Simplify right side
    5,153.14x = 29,649,944.28
  5. Step 5: Solve for x
    x = 29,649,944.28/5,153.14
  6. Step 6: Final answer
    x = 5,753.76

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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.