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Finding the Fourth Proportional to 8,768.57, 12,094.25 and 5,578.70

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Solution

The fourth proportional to 8,768.57, 12,094.25 and 5,578.70 is: 7,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.57 : 12,094.25 = 5,578.70 : x
  2. Step 2: Convert to fraction form
    8,768.57/12,094.25 = 5,578.70/x
  3. Step 3: Cross multiply
    8,768.57x = 12,094.25 × 5,578.70
  4. Step 4: Simplify right side
    8,768.57x = 67,470,104.11
  5. Step 5: Solve for x
    x = 67,470,104.11/8,768.57
  6. Step 6: Final answer
    x = 7,694.54

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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.