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Finding the Fourth Proportional to 7,798.20, 11,682.18 and 3,905.88

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Solution

The fourth proportional to 7,798.20, 11,682.18 and 3,905.88 is: 5,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.20 : 11,682.18 = 3,905.88 : x
  2. Step 2: Convert to fraction form
    7,798.20/11,682.18 = 3,905.88/x
  3. Step 3: Cross multiply
    7,798.20x = 11,682.18 × 3,905.88
  4. Step 4: Simplify right side
    7,798.20x = 45,629,193.22
  5. Step 5: Solve for x
    x = 45,629,193.22/7,798.20
  6. Step 6: Final answer
    x = 5,851.25

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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.