Home / 1,942.62-2,912.10-1,075.14

Finding the Fourth Proportional to 1,942.62, 2,912.10 and 1,075.14

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Solution

The fourth proportional to 1,942.62, 2,912.10 and 1,075.14 is: 1,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.62 : 2,912.10 = 1,075.14 : x
  2. Step 2: Convert to fraction form
    1,942.62/2,912.10 = 1,075.14/x
  3. Step 3: Cross multiply
    1,942.62x = 2,912.10 × 1,075.14
  4. Step 4: Simplify right side
    1,942.62x = 3,130,915.19
  5. Step 5: Solve for x
    x = 3,130,915.19/1,942.62
  6. Step 6: Final answer
    x = 1,611.70

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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.