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Finding the Fourth Proportional to 13,700.33, 20,550.68 and 3,838.98

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Solution

The fourth proportional to 13,700.33, 20,550.68 and 3,838.98 is: 5,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.33 : 20,550.68 = 3,838.98 : x
  2. Step 2: Convert to fraction form
    13,700.33/20,550.68 = 3,838.98/x
  3. Step 3: Cross multiply
    13,700.33x = 20,550.68 × 3,838.98
  4. Step 4: Simplify right side
    13,700.33x = 78,893,630.31
  5. Step 5: Solve for x
    x = 78,893,630.31/13,700.33
  6. Step 6: Final answer
    x = 5,758.52

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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.