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Finding the Fourth Proportional to 3,985.44, 5,978.17 and 1,388.39

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Solution

The fourth proportional to 3,985.44, 5,978.17 and 1,388.39 is: 2,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.44 : 5,978.17 = 1,388.39 : x
  2. Step 2: Convert to fraction form
    3,985.44/5,978.17 = 1,388.39/x
  3. Step 3: Cross multiply
    3,985.44x = 5,978.17 × 1,388.39
  4. Step 4: Simplify right side
    3,985.44x = 8,300,031.45
  5. Step 5: Solve for x
    x = 8,300,031.45/3,985.44
  6. Step 6: Final answer
    x = 2,082.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.