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Finding the Fourth Proportional to 4,892.19, 7,343.87 and 3,719.31

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Solution

The fourth proportional to 4,892.19, 7,343.87 and 3,719.31 is: 5,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.19 : 7,343.87 = 3,719.31 : x
  2. Step 2: Convert to fraction form
    4,892.19/7,343.87 = 3,719.31/x
  3. Step 3: Cross multiply
    4,892.19x = 7,343.87 × 3,719.31
  4. Step 4: Simplify right side
    4,892.19x = 27,314,110.53
  5. Step 5: Solve for x
    x = 27,314,110.53/4,892.19
  6. Step 6: Final answer
    x = 5,583.21

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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.