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Finding the Fourth Proportional to 7,755.35, 11,626.16 and 3,078.63

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Solution

The fourth proportional to 7,755.35, 11,626.16 and 3,078.63 is: 4,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.35 : 11,626.16 = 3,078.63 : x
  2. Step 2: Convert to fraction form
    7,755.35/11,626.16 = 3,078.63/x
  3. Step 3: Cross multiply
    7,755.35x = 11,626.16 × 3,078.63
  4. Step 4: Simplify right side
    7,755.35x = 35,792,629.57
  5. Step 5: Solve for x
    x = 35,792,629.57/7,755.35
  6. Step 6: Final answer
    x = 4,615.22

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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.