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Finding the Fourth Proportional to 8,759.60, 13,136.28 and 3,827.84

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Solution

The fourth proportional to 8,759.60, 13,136.28 and 3,827.84 is: 5,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,759.60 : 13,136.28 = 3,827.84 : x
  2. Step 2: Convert to fraction form
    8,759.60/13,136.28 = 3,827.84/x
  3. Step 3: Cross multiply
    8,759.60x = 13,136.28 × 3,827.84
  4. Step 4: Simplify right side
    8,759.60x = 50,283,578.04
  5. Step 5: Solve for x
    x = 50,283,578.04/8,759.60
  6. Step 6: Final answer
    x = 5,740.40

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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.