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Finding the Fourth Proportional to 7,887.54, 11,831.13 and 3,729.54

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Solution

The fourth proportional to 7,887.54, 11,831.13 and 3,729.54 is: 5,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.54 : 11,831.13 = 3,729.54 : x
  2. Step 2: Convert to fraction form
    7,887.54/11,831.13 = 3,729.54/x
  3. Step 3: Cross multiply
    7,887.54x = 11,831.13 × 3,729.54
  4. Step 4: Simplify right side
    7,887.54x = 44,124,672.58
  5. Step 5: Solve for x
    x = 44,124,672.58/7,887.54
  6. Step 6: Final answer
    x = 5,594.22

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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.