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Finding the Fourth Proportional to 2,738.54, 4,107.31 and 889.11

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Solution

The fourth proportional to 2,738.54, 4,107.31 and 889.11 is: 1,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.54 : 4,107.31 = 889.11 : x
  2. Step 2: Convert to fraction form
    2,738.54/4,107.31 = 889.11/x
  3. Step 3: Cross multiply
    2,738.54x = 4,107.31 × 889.11
  4. Step 4: Simplify right side
    2,738.54x = 3,651,848.17
  5. Step 5: Solve for x
    x = 3,651,848.17/2,738.54
  6. Step 6: Final answer
    x = 1,333.50

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Half scale
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Double scale
Find fourth proportional to 2,739.54, 4,108.81 and 890.11
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1.5x scale

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.