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Finding the Fourth Proportional to 7,388, 10,195.44 and 4,076

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Solution

The fourth proportional to 7,388, 10,195.44 and 4,076 is: 5,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388 : 10,195.44 = 4,076 : x
  2. Step 2: Convert to fraction form
    7,388/10,195.44 = 4,076/x
  3. Step 3: Cross multiply
    7,388x = 10,195.44 × 4,076
  4. Step 4: Simplify right side
    7,388x = 41,556,613.44
  5. Step 5: Solve for x
    x = 41,556,613.44/7,388
  6. Step 6: Final answer
    x = 5,624.88

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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.