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Finding the Fourth Proportional to 8,284, 11,441.40 and 5,626.96

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Solution

The fourth proportional to 8,284, 11,441.40 and 5,626.96 is: 7,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 11,441.40 = 5,626.96 : x
  2. Step 2: Convert to fraction form
    8,284/11,441.40 = 5,626.96/x
  3. Step 3: Cross multiply
    8,284x = 11,441.40 × 5,626.96
  4. Step 4: Simplify right side
    8,284x = 64,380,300.14
  5. Step 5: Solve for x
    x = 64,380,300.14/8,284
  6. Step 6: Final answer
    x = 7,771.64

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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.