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Finding the Fourth Proportional to 20,498.85, 30,736.91 and 7,168.28

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Solution

The fourth proportional to 20,498.85, 30,736.91 and 7,168.28 is: 10,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.85 : 30,736.91 = 7,168.28 : x
  2. Step 2: Convert to fraction form
    20,498.85/30,736.91 = 7,168.28/x
  3. Step 3: Cross multiply
    20,498.85x = 30,736.91 × 7,168.28
  4. Step 4: Simplify right side
    20,498.85x = 220,330,641.45
  5. Step 5: Solve for x
    x = 220,330,641.45/20,498.85
  6. Step 6: Final answer
    x = 10,748.44

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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.