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Finding the Fourth Proportional to 2,074.47, 3,112.38 and 613.65

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Solution

The fourth proportional to 2,074.47, 3,112.38 and 613.65 is: 920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.47 : 3,112.38 = 613.65 : x
  2. Step 2: Convert to fraction form
    2,074.47/3,112.38 = 613.65/x
  3. Step 3: Cross multiply
    2,074.47x = 3,112.38 × 613.65
  4. Step 4: Simplify right side
    2,074.47x = 1,909,911.99
  5. Step 5: Solve for x
    x = 1,909,911.99/2,074.47
  6. Step 6: Final answer
    x = 920.67

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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.