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Finding the Fourth Proportional to 3,985.56, 5,978.19 and 2,254.20

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Solution

The fourth proportional to 3,985.56, 5,978.19 and 2,254.20 is: 3,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.56 : 5,978.19 = 2,254.20 : x
  2. Step 2: Convert to fraction form
    3,985.56/5,978.19 = 2,254.20/x
  3. Step 3: Cross multiply
    3,985.56x = 5,978.19 × 2,254.20
  4. Step 4: Simplify right side
    3,985.56x = 13,476,035.90
  5. Step 5: Solve for x
    x = 13,476,035.90/3,985.56
  6. Step 6: Final answer
    x = 3,381.22

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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.