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Finding the Fourth Proportional to 31,978, 44,129.64 and 17,831.76

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Solution

The fourth proportional to 31,978, 44,129.64 and 17,831.76 is: 24,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978 : 44,129.64 = 17,831.76 : x
  2. Step 2: Convert to fraction form
    31,978/44,129.64 = 17,831.76/x
  3. Step 3: Cross multiply
    31,978x = 44,129.64 × 17,831.76
  4. Step 4: Simplify right side
    31,978x = 786,909,149.37
  5. Step 5: Solve for x
    x = 786,909,149.37/31,978
  6. Step 6: Final answer
    x = 24,607.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.