Home / 2,564.36-3,847.14-1,102.70

Finding the Fourth Proportional to 2,564.36, 3,847.14 and 1,102.70

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Solution

The fourth proportional to 2,564.36, 3,847.14 and 1,102.70 is: 1,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.36 : 3,847.14 = 1,102.70 : x
  2. Step 2: Convert to fraction form
    2,564.36/3,847.14 = 1,102.70/x
  3. Step 3: Cross multiply
    2,564.36x = 3,847.14 × 1,102.70
  4. Step 4: Simplify right side
    2,564.36x = 4,242,241.28
  5. Step 5: Solve for x
    x = 4,242,241.28/2,564.36
  6. Step 6: Final answer
    x = 1,654.31

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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.