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Finding the Fourth Proportional to 2,104.26, 3,156.39 and 643.41

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Solution

The fourth proportional to 2,104.26, 3,156.39 and 643.41 is: 965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.26 : 3,156.39 = 643.41 : x
  2. Step 2: Convert to fraction form
    2,104.26/3,156.39 = 643.41/x
  3. Step 3: Cross multiply
    2,104.26x = 3,156.39 × 643.41
  4. Step 4: Simplify right side
    2,104.26x = 2,030,837.11
  5. Step 5: Solve for x
    x = 2,030,837.11/2,104.26
  6. Step 6: Final answer
    x = 965.11

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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.