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Finding the Fourth Proportional to 2,912.90, 4,019.02 and 1,865.57

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Solution

The fourth proportional to 2,912.90, 4,019.02 and 1,865.57 is: 2,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.90 : 4,019.02 = 1,865.57 : x
  2. Step 2: Convert to fraction form
    2,912.90/4,019.02 = 1,865.57/x
  3. Step 3: Cross multiply
    2,912.90x = 4,019.02 × 1,865.57
  4. Step 4: Simplify right side
    2,912.90x = 7,497,738.38
  5. Step 5: Solve for x
    x = 7,497,738.38/2,912.90
  6. Step 6: Final answer
    x = 2,573.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.