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Finding the Fourth Proportional to 5,874, 8,812.22 and 1,978.31

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Solution

The fourth proportional to 5,874, 8,812.22 and 1,978.31 is: 2,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874 : 8,812.22 = 1,978.31 : x
  2. Step 2: Convert to fraction form
    5,874/8,812.22 = 1,978.31/x
  3. Step 3: Cross multiply
    5,874x = 8,812.22 × 1,978.31
  4. Step 4: Simplify right side
    5,874x = 17,433,249.00
  5. Step 5: Solve for x
    x = 17,433,249.00/5,874
  6. Step 6: Final answer
    x = 2,967.87

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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.