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Finding the Fourth Proportional to 8,692.98, 13,039.30 and 2,119.14

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Solution

The fourth proportional to 8,692.98, 13,039.30 and 2,119.14 is: 3,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.98 : 13,039.30 = 2,119.14 : x
  2. Step 2: Convert to fraction form
    8,692.98/13,039.30 = 2,119.14/x
  3. Step 3: Cross multiply
    8,692.98x = 13,039.30 × 2,119.14
  4. Step 4: Simplify right side
    8,692.98x = 27,632,102.20
  5. Step 5: Solve for x
    x = 27,632,102.20/8,692.98
  6. Step 6: Final answer
    x = 3,178.67

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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.