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Finding the Fourth Proportional to 7,865.92, 10,841.40 and 6,745.44

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Solution

The fourth proportional to 7,865.92, 10,841.40 and 6,745.44 is: 9,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.92 : 10,841.40 = 6,745.44 : x
  2. Step 2: Convert to fraction form
    7,865.92/10,841.40 = 6,745.44/x
  3. Step 3: Cross multiply
    7,865.92x = 10,841.40 × 6,745.44
  4. Step 4: Simplify right side
    7,865.92x = 73,130,013.22
  5. Step 5: Solve for x
    x = 73,130,013.22/7,865.92
  6. Step 6: Final answer
    x = 9,297.07

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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.