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Finding the Fourth Proportional to 6,659.62, 9,193.60 and 4,142.54

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Solution

The fourth proportional to 6,659.62, 9,193.60 and 4,142.54 is: 5,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.62 : 9,193.60 = 4,142.54 : x
  2. Step 2: Convert to fraction form
    6,659.62/9,193.60 = 4,142.54/x
  3. Step 3: Cross multiply
    6,659.62x = 9,193.60 × 4,142.54
  4. Step 4: Simplify right side
    6,659.62x = 38,084,883.91
  5. Step 5: Solve for x
    x = 38,084,883.91/6,659.62
  6. Step 6: Final answer
    x = 5,718.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.