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Finding the Fourth Proportional to 7,388, 10,194.64 and 4,244.64

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Solution

The fourth proportional to 7,388, 10,194.64 and 4,244.64 is: 5,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388 : 10,194.64 = 4,244.64 : x
  2. Step 2: Convert to fraction form
    7,388/10,194.64 = 4,244.64/x
  3. Step 3: Cross multiply
    7,388x = 10,194.64 × 4,244.64
  4. Step 4: Simplify right side
    7,388x = 43,272,576.73
  5. Step 5: Solve for x
    x = 43,272,576.73/7,388
  6. Step 6: Final answer
    x = 5,857.14

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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.