Home / 2,142.24-3,214.08-1,116

Finding the Fourth Proportional to 2,142.24, 3,214.08 and 1,116

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Solution

The fourth proportional to 2,142.24, 3,214.08 and 1,116 is: 1,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.24 : 3,214.08 = 1,116 : x
  2. Step 2: Convert to fraction form
    2,142.24/3,214.08 = 1,116/x
  3. Step 3: Cross multiply
    2,142.24x = 3,214.08 × 1,116
  4. Step 4: Simplify right side
    2,142.24x = 3,586,913.28
  5. Step 5: Solve for x
    x = 3,586,913.28/2,142.24
  6. Step 6: Final answer
    x = 1,674.38

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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.