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Finding the Fourth Proportional to 3,496.57, 5,240.90 and 1,415.27

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Solution

The fourth proportional to 3,496.57, 5,240.90 and 1,415.27 is: 2,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.57 : 5,240.90 = 1,415.27 : x
  2. Step 2: Convert to fraction form
    3,496.57/5,240.90 = 1,415.27/x
  3. Step 3: Cross multiply
    3,496.57x = 5,240.90 × 1,415.27
  4. Step 4: Simplify right side
    3,496.57x = 7,417,305.18
  5. Step 5: Solve for x
    x = 7,417,305.18/3,496.57
  6. Step 6: Final answer
    x = 2,121.31

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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.