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Finding the Fourth Proportional to 2,074.35, 3,111.49 and 613.51

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Solution

The fourth proportional to 2,074.35, 3,111.49 and 613.51 is: 920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.35 : 3,111.49 = 613.51 : x
  2. Step 2: Convert to fraction form
    2,074.35/3,111.49 = 613.51/x
  3. Step 3: Cross multiply
    2,074.35x = 3,111.49 × 613.51
  4. Step 4: Simplify right side
    2,074.35x = 1,908,930.23
  5. Step 5: Solve for x
    x = 1,908,930.23/2,074.35
  6. Step 6: Final answer
    x = 920.25

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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.