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Finding the Fourth Proportional to 6,216.95, 8,578.50 and 3,858.23

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Solution

The fourth proportional to 6,216.95, 8,578.50 and 3,858.23 is: 5,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.95 : 8,578.50 = 3,858.23 : x
  2. Step 2: Convert to fraction form
    6,216.95/8,578.50 = 3,858.23/x
  3. Step 3: Cross multiply
    6,216.95x = 8,578.50 × 3,858.23
  4. Step 4: Simplify right side
    6,216.95x = 33,097,826.06
  5. Step 5: Solve for x
    x = 33,097,826.06/6,216.95
  6. Step 6: Final answer
    x = 5,323.80

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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.