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Finding the Fourth Proportional to 2,279.22, 3,415.08 and 797.67

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Solution

The fourth proportional to 2,279.22, 3,415.08 and 797.67 is: 1,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.22 : 3,415.08 = 797.67 : x
  2. Step 2: Convert to fraction form
    2,279.22/3,415.08 = 797.67/x
  3. Step 3: Cross multiply
    2,279.22x = 3,415.08 × 797.67
  4. Step 4: Simplify right side
    2,279.22x = 2,724,106.86
  5. Step 5: Solve for x
    x = 2,724,106.86/2,279.22
  6. Step 6: Final answer
    x = 1,195.19

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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.