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Finding the Fourth Proportional to 13,762.74, 18,986.49 and 8,170.50

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Solution

The fourth proportional to 13,762.74, 18,986.49 and 8,170.50 is: 11,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.74 : 18,986.49 = 8,170.50 : x
  2. Step 2: Convert to fraction form
    13,762.74/18,986.49 = 8,170.50/x
  3. Step 3: Cross multiply
    13,762.74x = 18,986.49 × 8,170.50
  4. Step 4: Simplify right side
    13,762.74x = 155,129,116.55
  5. Step 5: Solve for x
    x = 155,129,116.55/13,762.74
  6. Step 6: Final answer
    x = 11,271.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.