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Finding the Fourth Proportional to 3,887.75, 5,831.03 and 1,421.98

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Solution

The fourth proportional to 3,887.75, 5,831.03 and 1,421.98 is: 2,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.75 : 5,831.03 = 1,421.98 : x
  2. Step 2: Convert to fraction form
    3,887.75/5,831.03 = 1,421.98/x
  3. Step 3: Cross multiply
    3,887.75x = 5,831.03 × 1,421.98
  4. Step 4: Simplify right side
    3,887.75x = 8,291,597.02
  5. Step 5: Solve for x
    x = 8,291,597.02/3,887.75
  6. Step 6: Final answer
    x = 2,132.75

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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.