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Finding the Fourth Proportional to 4,906.40, 7,354.12 and 2,135.40

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Solution

The fourth proportional to 4,906.40, 7,354.12 and 2,135.40 is: 3,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.40 : 7,354.12 = 2,135.40 : x
  2. Step 2: Convert to fraction form
    4,906.40/7,354.12 = 2,135.40/x
  3. Step 3: Cross multiply
    4,906.40x = 7,354.12 × 2,135.40
  4. Step 4: Simplify right side
    4,906.40x = 15,703,987.85
  5. Step 5: Solve for x
    x = 15,703,987.85/4,906.40
  6. Step 6: Final answer
    x = 3,200.71

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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.