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Finding the Fourth Proportional to 2,814.82, 4,222.23 and 867.03

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Solution

The fourth proportional to 2,814.82, 4,222.23 and 867.03 is: 1,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.82 : 4,222.23 = 867.03 : x
  2. Step 2: Convert to fraction form
    2,814.82/4,222.23 = 867.03/x
  3. Step 3: Cross multiply
    2,814.82x = 4,222.23 × 867.03
  4. Step 4: Simplify right side
    2,814.82x = 3,660,800.08
  5. Step 5: Solve for x
    x = 3,660,800.08/2,814.82
  6. Step 6: Final answer
    x = 1,300.55

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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.