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Finding the Fourth Proportional to 4,912.68, 7,369.20 and 1,450.20

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Solution

The fourth proportional to 4,912.68, 7,369.20 and 1,450.20 is: 2,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.68 : 7,369.20 = 1,450.20 : x
  2. Step 2: Convert to fraction form
    4,912.68/7,369.20 = 1,450.20/x
  3. Step 3: Cross multiply
    4,912.68x = 7,369.20 × 1,450.20
  4. Step 4: Simplify right side
    4,912.68x = 10,686,813.84
  5. Step 5: Solve for x
    x = 10,686,813.84/4,912.68
  6. Step 6: Final answer
    x = 2,175.35

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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.