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Finding the Fourth Proportional to 3,956.99, 5,460 and 2,188.25

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Solution

The fourth proportional to 3,956.99, 5,460 and 2,188.25 is: 3,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.99 : 5,460 = 2,188.25 : x
  2. Step 2: Convert to fraction form
    3,956.99/5,460 = 2,188.25/x
  3. Step 3: Cross multiply
    3,956.99x = 5,460 × 2,188.25
  4. Step 4: Simplify right side
    3,956.99x = 11,947,845
  5. Step 5: Solve for x
    x = 11,947,845/3,956.99
  6. Step 6: Final answer
    x = 3,019.43

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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.