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Finding the Fourth Proportional to 25,831.36, 38,749.20 and 8,301.52

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Solution

The fourth proportional to 25,831.36, 38,749.20 and 8,301.52 is: 12,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831.36 : 38,749.20 = 8,301.52 : x
  2. Step 2: Convert to fraction form
    25,831.36/38,749.20 = 8,301.52/x
  3. Step 3: Cross multiply
    25,831.36x = 38,749.20 × 8,301.52
  4. Step 4: Simplify right side
    25,831.36x = 321,677,258.78
  5. Step 5: Solve for x
    x = 321,677,258.78/25,831.36
  6. Step 6: Final answer
    x = 12,452.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.