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Finding the Fourth Proportional to 6,654.87, 9,978.98 and 2,270.79

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Solution

The fourth proportional to 6,654.87, 9,978.98 and 2,270.79 is: 3,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.87 : 9,978.98 = 2,270.79 : x
  2. Step 2: Convert to fraction form
    6,654.87/9,978.98 = 2,270.79/x
  3. Step 3: Cross multiply
    6,654.87x = 9,978.98 × 2,270.79
  4. Step 4: Simplify right side
    6,654.87x = 22,660,156.64
  5. Step 5: Solve for x
    x = 22,660,156.64/6,654.87
  6. Step 6: Final answer
    x = 3,405.05

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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.