Home / 3,831.19-5,746.78-1,057.77

Finding the Fourth Proportional to 3,831.19, 5,746.78 and 1,057.77

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Solution

The fourth proportional to 3,831.19, 5,746.78 and 1,057.77 is: 1,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.19 : 5,746.78 = 1,057.77 : x
  2. Step 2: Convert to fraction form
    3,831.19/5,746.78 = 1,057.77/x
  3. Step 3: Cross multiply
    3,831.19x = 5,746.78 × 1,057.77
  4. Step 4: Simplify right side
    3,831.19x = 6,078,742.75
  5. Step 5: Solve for x
    x = 6,078,742.75/3,831.19
  6. Step 6: Final answer
    x = 1,586.65

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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.