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Finding the Fourth Proportional to 4,722.50, 7,084.06 and 1,949.11

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Solution

The fourth proportional to 4,722.50, 7,084.06 and 1,949.11 is: 2,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.50 : 7,084.06 = 1,949.11 : x
  2. Step 2: Convert to fraction form
    4,722.50/7,084.06 = 1,949.11/x
  3. Step 3: Cross multiply
    4,722.50x = 7,084.06 × 1,949.11
  4. Step 4: Simplify right side
    4,722.50x = 13,807,629.45
  5. Step 5: Solve for x
    x = 13,807,629.45/4,722.50
  6. Step 6: Final answer
    x = 2,923.80

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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.