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Finding the Fourth Proportional to 5,977.16, 8,249.83 and 3,877.64

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Solution

The fourth proportional to 5,977.16, 8,249.83 and 3,877.64 is: 5,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.16 : 8,249.83 = 3,877.64 : x
  2. Step 2: Convert to fraction form
    5,977.16/8,249.83 = 3,877.64/x
  3. Step 3: Cross multiply
    5,977.16x = 8,249.83 × 3,877.64
  4. Step 4: Simplify right side
    5,977.16x = 31,989,829.55
  5. Step 5: Solve for x
    x = 31,989,829.55/5,977.16
  6. Step 6: Final answer
    x = 5,352.02

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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.