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Finding the Fourth Proportional to 13,751.70, 20,627.53 and 4,986.60

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Solution

The fourth proportional to 13,751.70, 20,627.53 and 4,986.60 is: 7,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.70 : 20,627.53 = 4,986.60 : x
  2. Step 2: Convert to fraction form
    13,751.70/20,627.53 = 4,986.60/x
  3. Step 3: Cross multiply
    13,751.70x = 20,627.53 × 4,986.60
  4. Step 4: Simplify right side
    13,751.70x = 102,861,241.10
  5. Step 5: Solve for x
    x = 102,861,241.10/13,751.70
  6. Step 6: Final answer
    x = 7,479.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.