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Finding the Fourth Proportional to 6,122, 8,449.06 and 3,469.40

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Solution

The fourth proportional to 6,122, 8,449.06 and 3,469.40 is: 4,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122 : 8,449.06 = 3,469.40 : x
  2. Step 2: Convert to fraction form
    6,122/8,449.06 = 3,469.40/x
  3. Step 3: Cross multiply
    6,122x = 8,449.06 × 3,469.40
  4. Step 4: Simplify right side
    6,122x = 29,313,168.76
  5. Step 5: Solve for x
    x = 29,313,168.76/6,122
  6. Step 6: Final answer
    x = 4,788.17

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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.