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Finding the Fourth Proportional to 13,706.42, 20,558.10 and 3,846.08

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Solution

The fourth proportional to 13,706.42, 20,558.10 and 3,846.08 is: 5,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.42 : 20,558.10 = 3,846.08 : x
  2. Step 2: Convert to fraction form
    13,706.42/20,558.10 = 3,846.08/x
  3. Step 3: Cross multiply
    13,706.42x = 20,558.10 × 3,846.08
  4. Step 4: Simplify right side
    13,706.42x = 79,068,097.25
  5. Step 5: Solve for x
    x = 79,068,097.25/13,706.42
  6. Step 6: Final answer
    x = 5,768.69

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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.