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Finding the Fourth Proportional to 5,609.20, 7,738.10 and 3,620.40

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Solution

The fourth proportional to 5,609.20, 7,738.10 and 3,620.40 is: 4,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.20 : 7,738.10 = 3,620.40 : x
  2. Step 2: Convert to fraction form
    5,609.20/7,738.10 = 3,620.40/x
  3. Step 3: Cross multiply
    5,609.20x = 7,738.10 × 3,620.40
  4. Step 4: Simplify right side
    5,609.20x = 28,015,017.24
  5. Step 5: Solve for x
    x = 28,015,017.24/5,609.20
  6. Step 6: Final answer
    x = 4,994.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.