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Finding the Fourth Proportional to 7,831.04, 11,754.24 and 3,729.92

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Solution

The fourth proportional to 7,831.04, 11,754.24 and 3,729.92 is: 5,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.04 : 11,754.24 = 3,729.92 : x
  2. Step 2: Convert to fraction form
    7,831.04/11,754.24 = 3,729.92/x
  3. Step 3: Cross multiply
    7,831.04x = 11,754.24 × 3,729.92
  4. Step 4: Simplify right side
    7,831.04x = 43,842,374.86
  5. Step 5: Solve for x
    x = 43,842,374.86/7,831.04
  6. Step 6: Final answer
    x = 5,598.54

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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.