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Finding the Fourth Proportional to 5,328.16, 7,984.82 and 2,725.60

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Solution

The fourth proportional to 5,328.16, 7,984.82 and 2,725.60 is: 4,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.16 : 7,984.82 = 2,725.60 : x
  2. Step 2: Convert to fraction form
    5,328.16/7,984.82 = 2,725.60/x
  3. Step 3: Cross multiply
    5,328.16x = 7,984.82 × 2,725.60
  4. Step 4: Simplify right side
    5,328.16x = 21,763,425.39
  5. Step 5: Solve for x
    x = 21,763,425.39/5,328.16
  6. Step 6: Final answer
    x = 4,084.60

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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.