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Finding the Fourth Proportional to 6,656.80, 9,984.00 and 2,906.55

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Solution

The fourth proportional to 6,656.80, 9,984.00 and 2,906.55 is: 4,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.80 : 9,984.00 = 2,906.55 : x
  2. Step 2: Convert to fraction form
    6,656.80/9,984.00 = 2,906.55/x
  3. Step 3: Cross multiply
    6,656.80x = 9,984.00 × 2,906.55
  4. Step 4: Simplify right side
    6,656.80x = 29,018,943.54
  5. Step 5: Solve for x
    x = 29,018,943.54/6,656.80
  6. Step 6: Final answer
    x = 4,359.30

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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.