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Finding the Fourth Proportional to 5,664.58, 8,489.68 and 3,200.78

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Solution

The fourth proportional to 5,664.58, 8,489.68 and 3,200.78 is: 4,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.58 : 8,489.68 = 3,200.78 : x
  2. Step 2: Convert to fraction form
    5,664.58/8,489.68 = 3,200.78/x
  3. Step 3: Cross multiply
    5,664.58x = 8,489.68 × 3,200.78
  4. Step 4: Simplify right side
    5,664.58x = 27,173,597.95
  5. Step 5: Solve for x
    x = 27,173,597.95/5,664.58
  6. Step 6: Final answer
    x = 4,797.11

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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.