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Finding the Fourth Proportional to 3,580.96, 5,372 and 1,115.28

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Solution

The fourth proportional to 3,580.96, 5,372 and 1,115.28 is: 1,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.96 : 5,372 = 1,115.28 : x
  2. Step 2: Convert to fraction form
    3,580.96/5,372 = 1,115.28/x
  3. Step 3: Cross multiply
    3,580.96x = 5,372 × 1,115.28
  4. Step 4: Simplify right side
    3,580.96x = 5,991,284.16
  5. Step 5: Solve for x
    x = 5,991,284.16/3,580.96
  6. Step 6: Final answer
    x = 1,673.09

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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.