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Finding the Fourth Proportional to 6,420, 8,859.60 and 3,476

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Solution

The fourth proportional to 6,420, 8,859.60 and 3,476 is: 4,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420 : 8,859.60 = 3,476 : x
  2. Step 2: Convert to fraction form
    6,420/8,859.60 = 3,476/x
  3. Step 3: Cross multiply
    6,420x = 8,859.60 × 3,476
  4. Step 4: Simplify right side
    6,420x = 30,795,969.60
  5. Step 5: Solve for x
    x = 30,795,969.60/6,420
  6. Step 6: Final answer
    x = 4,796.88

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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.