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Finding the Fourth Proportional to 3,564.89, 4,917.21 and 2,147.60

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Solution

The fourth proportional to 3,564.89, 4,917.21 and 2,147.60 is: 2,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.89 : 4,917.21 = 2,147.60 : x
  2. Step 2: Convert to fraction form
    3,564.89/4,917.21 = 2,147.60/x
  3. Step 3: Cross multiply
    3,564.89x = 4,917.21 × 2,147.60
  4. Step 4: Simplify right side
    3,564.89x = 10,560,200.20
  5. Step 5: Solve for x
    x = 10,560,200.20/3,564.89
  6. Step 6: Final answer
    x = 2,962.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.