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Finding the Fourth Proportional to 3,914.61, 5,388.17 and 3,243.93

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Solution

The fourth proportional to 3,914.61, 5,388.17 and 3,243.93 is: 4,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.61 : 5,388.17 = 3,243.93 : x
  2. Step 2: Convert to fraction form
    3,914.61/5,388.17 = 3,243.93/x
  3. Step 3: Cross multiply
    3,914.61x = 5,388.17 × 3,243.93
  4. Step 4: Simplify right side
    3,914.61x = 17,478,830.09
  5. Step 5: Solve for x
    x = 17,478,830.09/3,914.61
  6. Step 6: Final answer
    x = 4,465.02

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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.