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Finding the Fourth Proportional to 6,419, 8,858.22 and 3,475

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Solution

The fourth proportional to 6,419, 8,858.22 and 3,475 is: 4,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419 : 8,858.22 = 3,475 : x
  2. Step 2: Convert to fraction form
    6,419/8,858.22 = 3,475/x
  3. Step 3: Cross multiply
    6,419x = 8,858.22 × 3,475
  4. Step 4: Simplify right side
    6,419x = 30,782,314.50
  5. Step 5: Solve for x
    x = 30,782,314.50/6,419
  6. Step 6: Final answer
    x = 4,795.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.