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Finding the Fourth Proportional to 1,896.85, 2,845.51 and 742.45

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Solution

The fourth proportional to 1,896.85, 2,845.51 and 742.45 is: 1,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.85 : 2,845.51 = 742.45 : x
  2. Step 2: Convert to fraction form
    1,896.85/2,845.51 = 742.45/x
  3. Step 3: Cross multiply
    1,896.85x = 2,845.51 × 742.45
  4. Step 4: Simplify right side
    1,896.85x = 2,112,632.82
  5. Step 5: Solve for x
    x = 2,112,632.82/1,896.85
  6. Step 6: Final answer
    x = 1,113.76

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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.