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Finding the Fourth Proportional to 3,985.96, 5,978.94 and 1,388.92

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Solution

The fourth proportional to 3,985.96, 5,978.94 and 1,388.92 is: 2,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.96 : 5,978.94 = 1,388.92 : x
  2. Step 2: Convert to fraction form
    3,985.96/5,978.94 = 1,388.92/x
  3. Step 3: Cross multiply
    3,985.96x = 5,978.94 × 1,388.92
  4. Step 4: Simplify right side
    3,985.96x = 8,304,269.34
  5. Step 5: Solve for x
    x = 8,304,269.34/3,985.96
  6. Step 6: Final answer
    x = 2,083.38

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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.