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Finding the Fourth Proportional to 6,671.76, 9,205.98 and 3,839.22

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Solution

The fourth proportional to 6,671.76, 9,205.98 and 3,839.22 is: 5,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.76 : 9,205.98 = 3,839.22 : x
  2. Step 2: Convert to fraction form
    6,671.76/9,205.98 = 3,839.22/x
  3. Step 3: Cross multiply
    6,671.76x = 9,205.98 × 3,839.22
  4. Step 4: Simplify right side
    6,671.76x = 35,343,782.54
  5. Step 5: Solve for x
    x = 35,343,782.54/6,671.76
  6. Step 6: Final answer
    x = 5,297.52

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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.