Home / 1,892.16-2,831.26-1,149.12

Finding the Fourth Proportional to 1,892.16, 2,831.26 and 1,149.12

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Solution

The fourth proportional to 1,892.16, 2,831.26 and 1,149.12 is: 1,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.16 : 2,831.26 = 1,149.12 : x
  2. Step 2: Convert to fraction form
    1,892.16/2,831.26 = 1,149.12/x
  3. Step 3: Cross multiply
    1,892.16x = 2,831.26 × 1,149.12
  4. Step 4: Simplify right side
    1,892.16x = 3,253,457.49
  5. Step 5: Solve for x
    x = 3,253,457.49/1,892.16
  6. Step 6: Final answer
    x = 1,719.44

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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.