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Finding the Fourth Proportional to 2,841, 3,920.74 and 1,599.08

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Solution

The fourth proportional to 2,841, 3,920.74 and 1,599.08 is: 2,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841 : 3,920.74 = 1,599.08 : x
  2. Step 2: Convert to fraction form
    2,841/3,920.74 = 1,599.08/x
  3. Step 3: Cross multiply
    2,841x = 3,920.74 × 1,599.08
  4. Step 4: Simplify right side
    2,841x = 6,269,576.92
  5. Step 5: Solve for x
    x = 6,269,576.92/2,841
  6. Step 6: Final answer
    x = 2,206.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.