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Finding the Fourth Proportional to 13,451.16, 20,176.74 and 4,091.16

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Solution

The fourth proportional to 13,451.16, 20,176.74 and 4,091.16 is: 6,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.16 : 20,176.74 = 4,091.16 : x
  2. Step 2: Convert to fraction form
    13,451.16/20,176.74 = 4,091.16/x
  3. Step 3: Cross multiply
    13,451.16x = 20,176.74 × 4,091.16
  4. Step 4: Simplify right side
    13,451.16x = 82,546,271.62
  5. Step 5: Solve for x
    x = 82,546,271.62/13,451.16
  6. Step 6: Final answer
    x = 6,136.74

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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.