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Finding the Fourth Proportional to 5,317.91, 7,978.22 and 2,029.20

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Solution

The fourth proportional to 5,317.91, 7,978.22 and 2,029.20 is: 3,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.91 : 7,978.22 = 2,029.20 : x
  2. Step 2: Convert to fraction form
    5,317.91/7,978.22 = 2,029.20/x
  3. Step 3: Cross multiply
    5,317.91x = 7,978.22 × 2,029.20
  4. Step 4: Simplify right side
    5,317.91x = 16,189,409.10
  5. Step 5: Solve for x
    x = 16,189,409.10/5,317.91
  6. Step 6: Final answer
    x = 3,044.32

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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.