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Finding the Fourth Proportional to 3,831.76, 5,746.80 and 1,857.32

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Solution

The fourth proportional to 3,831.76, 5,746.80 and 1,857.32 is: 2,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.76 : 5,746.80 = 1,857.32 : x
  2. Step 2: Convert to fraction form
    3,831.76/5,746.80 = 1,857.32/x
  3. Step 3: Cross multiply
    3,831.76x = 5,746.80 × 1,857.32
  4. Step 4: Simplify right side
    3,831.76x = 10,673,646.58
  5. Step 5: Solve for x
    x = 10,673,646.58/3,831.76
  6. Step 6: Final answer
    x = 2,785.57

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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.