Home / 2,113.66-3,171.87-943.98

Finding the Fourth Proportional to 2,113.66, 3,171.87 and 943.98

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Solution

The fourth proportional to 2,113.66, 3,171.87 and 943.98 is: 1,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.66 : 3,171.87 = 943.98 : x
  2. Step 2: Convert to fraction form
    2,113.66/3,171.87 = 943.98/x
  3. Step 3: Cross multiply
    2,113.66x = 3,171.87 × 943.98
  4. Step 4: Simplify right side
    2,113.66x = 2,994,181.84
  5. Step 5: Solve for x
    x = 2,994,181.84/2,113.66
  6. Step 6: Final answer
    x = 1,416.59

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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.