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Finding the Fourth Proportional to 20,896.94, 31,356.18 and 13,881.80

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Solution

The fourth proportional to 20,896.94, 31,356.18 and 13,881.80 is: 20,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.94 : 31,356.18 = 13,881.80 : x
  2. Step 2: Convert to fraction form
    20,896.94/31,356.18 = 13,881.80/x
  3. Step 3: Cross multiply
    20,896.94x = 31,356.18 × 13,881.80
  4. Step 4: Simplify right side
    20,896.94x = 435,280,062.74
  5. Step 5: Solve for x
    x = 435,280,062.74/20,896.94
  6. Step 6: Final answer
    x = 20,829.85

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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.