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Finding the Fourth Proportional to 6,659.42, 9,968.47 and 3,531.70

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Solution

The fourth proportional to 6,659.42, 9,968.47 and 3,531.70 is: 5,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.42 : 9,968.47 = 3,531.70 : x
  2. Step 2: Convert to fraction form
    6,659.42/9,968.47 = 3,531.70/x
  3. Step 3: Cross multiply
    6,659.42x = 9,968.47 × 3,531.70
  4. Step 4: Simplify right side
    6,659.42x = 35,205,649.13
  5. Step 5: Solve for x
    x = 35,205,649.13/6,659.42
  6. Step 6: Final answer
    x = 5,286.60

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1.5x scale

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.