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Finding the Fourth Proportional to 2,109.88, 3,164.97 and 608.84

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Solution

The fourth proportional to 2,109.88, 3,164.97 and 608.84 is: 913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.88 : 3,164.97 = 608.84 : x
  2. Step 2: Convert to fraction form
    2,109.88/3,164.97 = 608.84/x
  3. Step 3: Cross multiply
    2,109.88x = 3,164.97 × 608.84
  4. Step 4: Simplify right side
    2,109.88x = 1,926,960.33
  5. Step 5: Solve for x
    x = 1,926,960.33/2,109.88
  6. Step 6: Final answer
    x = 913.30

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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.