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Finding the Fourth Proportional to 2,841.96, 4,262.26 and 867.05

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Solution

The fourth proportional to 2,841.96, 4,262.26 and 867.05 is: 1,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.96 : 4,262.26 = 867.05 : x
  2. Step 2: Convert to fraction form
    2,841.96/4,262.26 = 867.05/x
  3. Step 3: Cross multiply
    2,841.96x = 4,262.26 × 867.05
  4. Step 4: Simplify right side
    2,841.96x = 3,695,609.42
  5. Step 5: Solve for x
    x = 3,695,609.42/2,841.96
  6. Step 6: Final answer
    x = 1,300.37

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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.