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Finding the Fourth Proportional to 2,329.44, 3,212.96 and 1,489.44

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Solution

The fourth proportional to 2,329.44, 3,212.96 and 1,489.44 is: 2,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.44 : 3,212.96 = 1,489.44 : x
  2. Step 2: Convert to fraction form
    2,329.44/3,212.96 = 1,489.44/x
  3. Step 3: Cross multiply
    2,329.44x = 3,212.96 × 1,489.44
  4. Step 4: Simplify right side
    2,329.44x = 4,785,511.14
  5. Step 5: Solve for x
    x = 4,785,511.14/2,329.44
  6. Step 6: Final answer
    x = 2,054.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.