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Finding the Fourth Proportional to 13,658.40, 20,497.68 and 5,873.04

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Solution

The fourth proportional to 13,658.40, 20,497.68 and 5,873.04 is: 8,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.40 : 20,497.68 = 5,873.04 : x
  2. Step 2: Convert to fraction form
    13,658.40/20,497.68 = 5,873.04/x
  3. Step 3: Cross multiply
    13,658.40x = 20,497.68 × 5,873.04
  4. Step 4: Simplify right side
    13,658.40x = 120,383,694.55
  5. Step 5: Solve for x
    x = 120,383,694.55/13,658.40
  6. Step 6: Final answer
    x = 8,813.89

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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.