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Finding the Fourth Proportional to 3,915, 5,405.22 and 3,494.63

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Solution

The fourth proportional to 3,915, 5,405.22 and 3,494.63 is: 4,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915 : 5,405.22 = 3,494.63 : x
  2. Step 2: Convert to fraction form
    3,915/5,405.22 = 3,494.63/x
  3. Step 3: Cross multiply
    3,915x = 5,405.22 × 3,494.63
  4. Step 4: Simplify right side
    3,915x = 18,889,257.48
  5. Step 5: Solve for x
    x = 18,889,257.48/3,915
  6. Step 6: Final answer
    x = 4,824.84

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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.