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Finding the Fourth Proportional to 5,644.91, 7,788.60 and 3,286.59

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Solution

The fourth proportional to 5,644.91, 7,788.60 and 3,286.59 is: 4,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.91 : 7,788.60 = 3,286.59 : x
  2. Step 2: Convert to fraction form
    5,644.91/7,788.60 = 3,286.59/x
  3. Step 3: Cross multiply
    5,644.91x = 7,788.60 × 3,286.59
  4. Step 4: Simplify right side
    5,644.91x = 25,597,934.87
  5. Step 5: Solve for x
    x = 25,597,934.87/5,644.91
  6. Step 6: Final answer
    x = 4,534.70

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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.