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Finding the Fourth Proportional to 1,896, 2,845.20 and 741.78

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Solution

The fourth proportional to 1,896, 2,845.20 and 741.78 is: 1,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896 : 2,845.20 = 741.78 : x
  2. Step 2: Convert to fraction form
    1,896/2,845.20 = 741.78/x
  3. Step 3: Cross multiply
    1,896x = 2,845.20 × 741.78
  4. Step 4: Simplify right side
    1,896x = 2,110,512.46
  5. Step 5: Solve for x
    x = 2,110,512.46/1,896
  6. Step 6: Final answer
    x = 1,113.14

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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.