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Finding the Fourth Proportional to 6,618.80, 9,924.42 and 2,720

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Solution

The fourth proportional to 6,618.80, 9,924.42 and 2,720 is: 4,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.80 : 9,924.42 = 2,720 : x
  2. Step 2: Convert to fraction form
    6,618.80/9,924.42 = 2,720/x
  3. Step 3: Cross multiply
    6,618.80x = 9,924.42 × 2,720
  4. Step 4: Simplify right side
    6,618.80x = 26,994,422.40
  5. Step 5: Solve for x
    x = 26,994,422.40/6,618.80
  6. Step 6: Final answer
    x = 4,078.45

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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.