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Finding the Fourth Proportional to 3,887.86, 5,831.61 and 1,255.49

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Solution

The fourth proportional to 3,887.86, 5,831.61 and 1,255.49 is: 1,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.86 : 5,831.61 = 1,255.49 : x
  2. Step 2: Convert to fraction form
    3,887.86/5,831.61 = 1,255.49/x
  3. Step 3: Cross multiply
    3,887.86x = 5,831.61 × 1,255.49
  4. Step 4: Simplify right side
    3,887.86x = 7,321,495.74
  5. Step 5: Solve for x
    x = 7,321,495.74/3,887.86
  6. Step 6: Final answer
    x = 1,883.17

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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.