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Finding the Fourth Proportional to 13,648.44, 20,473.74 and 5,855.28

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Solution

The fourth proportional to 13,648.44, 20,473.74 and 5,855.28 is: 8,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.44 : 20,473.74 = 5,855.28 : x
  2. Step 2: Convert to fraction form
    13,648.44/20,473.74 = 5,855.28/x
  3. Step 3: Cross multiply
    13,648.44x = 20,473.74 × 5,855.28
  4. Step 4: Simplify right side
    13,648.44x = 119,879,480.35
  5. Step 5: Solve for x
    x = 119,879,480.35/13,648.44
  6. Step 6: Final answer
    x = 8,783.38

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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.