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Finding the Fourth Proportional to 20,103.80, 30,119.70 and 9,692.60

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Solution

The fourth proportional to 20,103.80, 30,119.70 and 9,692.60 is: 14,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.80 : 30,119.70 = 9,692.60 : x
  2. Step 2: Convert to fraction form
    20,103.80/30,119.70 = 9,692.60/x
  3. Step 3: Cross multiply
    20,103.80x = 30,119.70 × 9,692.60
  4. Step 4: Simplify right side
    20,103.80x = 291,938,204.22
  5. Step 5: Solve for x
    x = 291,938,204.22/20,103.80
  6. Step 6: Final answer
    x = 14,521.54

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1.5x scale

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.