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Finding the Fourth Proportional to 4,949.85, 7,422.93 and 1,662.18

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Solution

The fourth proportional to 4,949.85, 7,422.93 and 1,662.18 is: 2,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.85 : 7,422.93 = 1,662.18 : x
  2. Step 2: Convert to fraction form
    4,949.85/7,422.93 = 1,662.18/x
  3. Step 3: Cross multiply
    4,949.85x = 7,422.93 × 1,662.18
  4. Step 4: Simplify right side
    4,949.85x = 12,338,245.79
  5. Step 5: Solve for x
    x = 12,338,245.79/4,949.85
  6. Step 6: Final answer
    x = 2,492.65

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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.