Home / 2,113.50-3,171.34-943.86

Finding the Fourth Proportional to 2,113.50, 3,171.34 and 943.86

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Solution

The fourth proportional to 2,113.50, 3,171.34 and 943.86 is: 1,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.50 : 3,171.34 = 943.86 : x
  2. Step 2: Convert to fraction form
    2,113.50/3,171.34 = 943.86/x
  3. Step 3: Cross multiply
    2,113.50x = 3,171.34 × 943.86
  4. Step 4: Simplify right side
    2,113.50x = 2,993,300.97
  5. Step 5: Solve for x
    x = 2,993,300.97/2,113.50
  6. Step 6: Final answer
    x = 1,416.28

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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.