Home / 2,114.18-3,171.75-727.50

Finding the Fourth Proportional to 2,114.18, 3,171.75 and 727.50

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Solution

The fourth proportional to 2,114.18, 3,171.75 and 727.50 is: 1,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.18 : 3,171.75 = 727.50 : x
  2. Step 2: Convert to fraction form
    2,114.18/3,171.75 = 727.50/x
  3. Step 3: Cross multiply
    2,114.18x = 3,171.75 × 727.50
  4. Step 4: Simplify right side
    2,114.18x = 2,307,448.13
  5. Step 5: Solve for x
    x = 2,307,448.13/2,114.18
  6. Step 6: Final answer
    x = 1,091.42

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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.