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Finding the Fourth Proportional to 5,659.83, 8,489.75 and 1,764.25

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Solution

The fourth proportional to 5,659.83, 8,489.75 and 1,764.25 is: 2,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.83 : 8,489.75 = 1,764.25 : x
  2. Step 2: Convert to fraction form
    5,659.83/8,489.75 = 1,764.25/x
  3. Step 3: Cross multiply
    5,659.83x = 8,489.75 × 1,764.25
  4. Step 4: Simplify right side
    5,659.83x = 14,978,011.39
  5. Step 5: Solve for x
    x = 14,978,011.39/5,659.83
  6. Step 6: Final answer
    x = 2,646.37

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Similar ratio
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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.