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Finding the Fourth Proportional to 6,659.42, 9,978.19 and 2,274.48

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Solution

The fourth proportional to 6,659.42, 9,978.19 and 2,274.48 is: 3,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.42 : 9,978.19 = 2,274.48 : x
  2. Step 2: Convert to fraction form
    6,659.42/9,978.19 = 2,274.48/x
  3. Step 3: Cross multiply
    6,659.42x = 9,978.19 × 2,274.48
  4. Step 4: Simplify right side
    6,659.42x = 22,695,187.91
  5. Step 5: Solve for x
    x = 22,695,187.91/6,659.42
  6. Step 6: Final answer
    x = 3,407.99

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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.