Home / 2,114.02-3,171.26-943.52

Finding the Fourth Proportional to 2,114.02, 3,171.26 and 943.52

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Solution

The fourth proportional to 2,114.02, 3,171.26 and 943.52 is: 1,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.02 : 3,171.26 = 943.52 : x
  2. Step 2: Convert to fraction form
    2,114.02/3,171.26 = 943.52/x
  3. Step 3: Cross multiply
    2,114.02x = 3,171.26 × 943.52
  4. Step 4: Simplify right side
    2,114.02x = 2,992,147.24
  5. Step 5: Solve for x
    x = 2,992,147.24/2,114.02
  6. Step 6: Final answer
    x = 1,415.38

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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.