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Finding the Fourth Proportional to 2,893.69, 3,993.65 and 1,634.80

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Solution

The fourth proportional to 2,893.69, 3,993.65 and 1,634.80 is: 2,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.69 : 3,993.65 = 1,634.80 : x
  2. Step 2: Convert to fraction form
    2,893.69/3,993.65 = 1,634.80/x
  3. Step 3: Cross multiply
    2,893.69x = 3,993.65 × 1,634.80
  4. Step 4: Simplify right side
    2,893.69x = 6,528,819.02
  5. Step 5: Solve for x
    x = 6,528,819.02/2,893.69
  6. Step 6: Final answer
    x = 2,256.23

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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.