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Finding the Fourth Proportional to 8,471.25, 11,690.46 and 4,745.25

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Solution

The fourth proportional to 8,471.25, 11,690.46 and 4,745.25 is: 6,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.25 : 11,690.46 = 4,745.25 : x
  2. Step 2: Convert to fraction form
    8,471.25/11,690.46 = 4,745.25/x
  3. Step 3: Cross multiply
    8,471.25x = 11,690.46 × 4,745.25
  4. Step 4: Simplify right side
    8,471.25x = 55,474,155.32
  5. Step 5: Solve for x
    x = 55,474,155.32/8,471.25
  6. Step 6: Final answer
    x = 6,548.52

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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.