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Finding the Fourth Proportional to 4,813.56, 6,643.08 and 2,823.60

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Solution

The fourth proportional to 4,813.56, 6,643.08 and 2,823.60 is: 3,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.56 : 6,643.08 = 2,823.60 : x
  2. Step 2: Convert to fraction form
    4,813.56/6,643.08 = 2,823.60/x
  3. Step 3: Cross multiply
    4,813.56x = 6,643.08 × 2,823.60
  4. Step 4: Simplify right side
    4,813.56x = 18,757,400.69
  5. Step 5: Solve for x
    x = 18,757,400.69/4,813.56
  6. Step 6: Final answer
    x = 3,896.78

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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.