Home / 2,112.84-3,169.58-943.24

Finding the Fourth Proportional to 2,112.84, 3,169.58 and 943.24

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Solution

The fourth proportional to 2,112.84, 3,169.58 and 943.24 is: 1,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.84 : 3,169.58 = 943.24 : x
  2. Step 2: Convert to fraction form
    2,112.84/3,169.58 = 943.24/x
  3. Step 3: Cross multiply
    2,112.84x = 3,169.58 × 943.24
  4. Step 4: Simplify right side
    2,112.84x = 2,989,674.64
  5. Step 5: Solve for x
    x = 2,989,674.64/2,112.84
  6. Step 6: Final answer
    x = 1,415.00

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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.