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Finding the Fourth Proportional to 1,850.40, 2,760 and 1,573.38

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Solution

The fourth proportional to 1,850.40, 2,760 and 1,573.38 is: 2,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.40 : 2,760 = 1,573.38 : x
  2. Step 2: Convert to fraction form
    1,850.40/2,760 = 1,573.38/x
  3. Step 3: Cross multiply
    1,850.40x = 2,760 × 1,573.38
  4. Step 4: Simplify right side
    1,850.40x = 4,342,528.80
  5. Step 5: Solve for x
    x = 4,342,528.80/1,850.40
  6. Step 6: Final answer
    x = 2,346.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.