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Finding the Fourth Proportional to 6,652.22, 9,978.84 and 3,879.17

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Solution

The fourth proportional to 6,652.22, 9,978.84 and 3,879.17 is: 5,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.22 : 9,978.84 = 3,879.17 : x
  2. Step 2: Convert to fraction form
    6,652.22/9,978.84 = 3,879.17/x
  3. Step 3: Cross multiply
    6,652.22x = 9,978.84 × 3,879.17
  4. Step 4: Simplify right side
    6,652.22x = 38,709,547.47
  5. Step 5: Solve for x
    x = 38,709,547.47/6,652.22
  6. Step 6: Final answer
    x = 5,819.05

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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.