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Finding the Fourth Proportional to 13,885.38, 20,831.28 and 4,024.80

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Solution

The fourth proportional to 13,885.38, 20,831.28 and 4,024.80 is: 6,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.38 : 20,831.28 = 4,024.80 : x
  2. Step 2: Convert to fraction form
    13,885.38/20,831.28 = 4,024.80/x
  3. Step 3: Cross multiply
    13,885.38x = 20,831.28 × 4,024.80
  4. Step 4: Simplify right side
    13,885.38x = 83,841,735.74
  5. Step 5: Solve for x
    x = 83,841,735.74/13,885.38
  6. Step 6: Final answer
    x = 6,038.13

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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.