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Finding the Fourth Proportional to 3,984, 5,497.66 and 2,215.54

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Solution

The fourth proportional to 3,984, 5,497.66 and 2,215.54 is: 3,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 5,497.66 = 2,215.54 : x
  2. Step 2: Convert to fraction form
    3,984/5,497.66 = 2,215.54/x
  3. Step 3: Cross multiply
    3,984x = 5,497.66 × 2,215.54
  4. Step 4: Simplify right side
    3,984x = 12,180,285.64
  5. Step 5: Solve for x
    x = 12,180,285.64/3,984
  6. Step 6: Final answer
    x = 3,057.30

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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.