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Finding the Fourth Proportional to 2,069.12, 3,104.17 and 608.22

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Solution

The fourth proportional to 2,069.12, 3,104.17 and 608.22 is: 912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.12 : 3,104.17 = 608.22 : x
  2. Step 2: Convert to fraction form
    2,069.12/3,104.17 = 608.22/x
  3. Step 3: Cross multiply
    2,069.12x = 3,104.17 × 608.22
  4. Step 4: Simplify right side
    2,069.12x = 1,888,016.76
  5. Step 5: Solve for x
    x = 1,888,016.76/2,069.12
  6. Step 6: Final answer
    x = 912.48

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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.