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Finding the Fourth Proportional to 20,074.80, 30,102.10 and 11,757.48

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Solution

The fourth proportional to 20,074.80, 30,102.10 and 11,757.48 is: 17,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,074.80 : 30,102.10 = 11,757.48 : x
  2. Step 2: Convert to fraction form
    20,074.80/30,102.10 = 11,757.48/x
  3. Step 3: Cross multiply
    20,074.80x = 30,102.10 × 11,757.48
  4. Step 4: Simplify right side
    20,074.80x = 353,924,838.71
  5. Step 5: Solve for x
    x = 353,924,838.71/20,074.80
  6. Step 6: Final answer
    x = 17,630.30

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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.