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Finding the Fourth Proportional to 6,745.16, 9,309.44 and 3,914.21

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Solution

The fourth proportional to 6,745.16, 9,309.44 and 3,914.21 is: 5,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.16 : 9,309.44 = 3,914.21 : x
  2. Step 2: Convert to fraction form
    6,745.16/9,309.44 = 3,914.21/x
  3. Step 3: Cross multiply
    6,745.16x = 9,309.44 × 3,914.21
  4. Step 4: Simplify right side
    6,745.16x = 36,439,037.02
  5. Step 5: Solve for x
    x = 36,439,037.02/6,745.16
  6. Step 6: Final answer
    x = 5,402.25

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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.