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Finding the Fourth Proportional to 5,881.08, 8,822.82 and 1,985.42

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Solution

The fourth proportional to 5,881.08, 8,822.82 and 1,985.42 is: 2,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.08 : 8,822.82 = 1,985.42 : x
  2. Step 2: Convert to fraction form
    5,881.08/8,822.82 = 1,985.42/x
  3. Step 3: Cross multiply
    5,881.08x = 8,822.82 × 1,985.42
  4. Step 4: Simplify right side
    5,881.08x = 17,517,003.28
  5. Step 5: Solve for x
    x = 17,517,003.28/5,881.08
  6. Step 6: Final answer
    x = 2,978.54

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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.