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Finding the Fourth Proportional to 2,814.99, 4,222.49 and 867.15

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Solution

The fourth proportional to 2,814.99, 4,222.49 and 867.15 is: 1,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.99 : 4,222.49 = 867.15 : x
  2. Step 2: Convert to fraction form
    2,814.99/4,222.49 = 867.15/x
  3. Step 3: Cross multiply
    2,814.99x = 4,222.49 × 867.15
  4. Step 4: Simplify right side
    2,814.99x = 3,661,527.87
  5. Step 5: Solve for x
    x = 3,661,527.87/2,814.99
  6. Step 6: Final answer
    x = 1,300.73

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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.