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Finding the Fourth Proportional to 2,837.80, 4,256.40 and 889.90

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Solution

The fourth proportional to 2,837.80, 4,256.40 and 889.90 is: 1,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.80 : 4,256.40 = 889.90 : x
  2. Step 2: Convert to fraction form
    2,837.80/4,256.40 = 889.90/x
  3. Step 3: Cross multiply
    2,837.80x = 4,256.40 × 889.90
  4. Step 4: Simplify right side
    2,837.80x = 3,787,770.36
  5. Step 5: Solve for x
    x = 3,787,770.36/2,837.80
  6. Step 6: Final answer
    x = 1,334.76

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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.