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Finding the Fourth Proportional to 13,648.38, 20,472.84 and 5,751.06

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Solution

The fourth proportional to 13,648.38, 20,472.84 and 5,751.06 is: 8,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.38 : 20,472.84 = 5,751.06 : x
  2. Step 2: Convert to fraction form
    13,648.38/20,472.84 = 5,751.06/x
  3. Step 3: Cross multiply
    13,648.38x = 20,472.84 × 5,751.06
  4. Step 4: Simplify right side
    13,648.38x = 117,740,531.21
  5. Step 5: Solve for x
    x = 117,740,531.21/13,648.38
  6. Step 6: Final answer
    x = 8,626.70

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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.