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Finding the Fourth Proportional to 2,763.89, 4,146.12 and 889.14

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Solution

The fourth proportional to 2,763.89, 4,146.12 and 889.14 is: 1,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.89 : 4,146.12 = 889.14 : x
  2. Step 2: Convert to fraction form
    2,763.89/4,146.12 = 889.14/x
  3. Step 3: Cross multiply
    2,763.89x = 4,146.12 × 889.14
  4. Step 4: Simplify right side
    2,763.89x = 3,686,481.14
  5. Step 5: Solve for x
    x = 3,686,481.14/2,763.89
  6. Step 6: Final answer
    x = 1,333.80

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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.