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Finding the Fourth Proportional to 2,619.60, 3,930.20 and 889.44

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Solution

The fourth proportional to 2,619.60, 3,930.20 and 889.44 is: 1,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.60 : 3,930.20 = 889.44 : x
  2. Step 2: Convert to fraction form
    2,619.60/3,930.20 = 889.44/x
  3. Step 3: Cross multiply
    2,619.60x = 3,930.20 × 889.44
  4. Step 4: Simplify right side
    2,619.60x = 3,495,677.09
  5. Step 5: Solve for x
    x = 3,495,677.09/2,619.60
  6. Step 6: Final answer
    x = 1,334.43

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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.