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Finding the Fourth Proportional to 5,419.86, 7,479.31 and 3,029.86

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Solution

The fourth proportional to 5,419.86, 7,479.31 and 3,029.86 is: 4,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.86 : 7,479.31 = 3,029.86 : x
  2. Step 2: Convert to fraction form
    5,419.86/7,479.31 = 3,029.86/x
  3. Step 3: Cross multiply
    5,419.86x = 7,479.31 × 3,029.86
  4. Step 4: Simplify right side
    5,419.86x = 22,661,262.20
  5. Step 5: Solve for x
    x = 22,661,262.20/5,419.86
  6. Step 6: Final answer
    x = 4,181.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.