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Finding the Fourth Proportional to 6,398.42, 8,829.86 and 3,745.32

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Solution

The fourth proportional to 6,398.42, 8,829.86 and 3,745.32 is: 5,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.42 : 8,829.86 = 3,745.32 : x
  2. Step 2: Convert to fraction form
    6,398.42/8,829.86 = 3,745.32/x
  3. Step 3: Cross multiply
    6,398.42x = 8,829.86 × 3,745.32
  4. Step 4: Simplify right side
    6,398.42x = 33,070,651.26
  5. Step 5: Solve for x
    x = 33,070,651.26/6,398.42
  6. Step 6: Final answer
    x = 5,168.57

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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.