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Finding the Fourth Proportional to 5,729.60, 8,584.80 and 3,780.80

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Solution

The fourth proportional to 5,729.60, 8,584.80 and 3,780.80 is: 5,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.60 : 8,584.80 = 3,780.80 : x
  2. Step 2: Convert to fraction form
    5,729.60/8,584.80 = 3,780.80/x
  3. Step 3: Cross multiply
    5,729.60x = 8,584.80 × 3,780.80
  4. Step 4: Simplify right side
    5,729.60x = 32,457,411.84
  5. Step 5: Solve for x
    x = 32,457,411.84/5,729.60
  6. Step 6: Final answer
    x = 5,664.87

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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.