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Finding the Fourth Proportional to 5,415, 7,472.52 and 3,057.36

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Solution

The fourth proportional to 5,415, 7,472.52 and 3,057.36 is: 4,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415 : 7,472.52 = 3,057.36 : x
  2. Step 2: Convert to fraction form
    5,415/7,472.52 = 3,057.36/x
  3. Step 3: Cross multiply
    5,415x = 7,472.52 × 3,057.36
  4. Step 4: Simplify right side
    5,415x = 22,846,183.75
  5. Step 5: Solve for x
    x = 22,846,183.75/5,415
  6. Step 6: Final answer
    x = 4,219.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.