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Finding the Fourth Proportional to 6,147.76, 8,484.04 and 3,353.28

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Solution

The fourth proportional to 6,147.76, 8,484.04 and 3,353.28 is: 4,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.76 : 8,484.04 = 3,353.28 : x
  2. Step 2: Convert to fraction form
    6,147.76/8,484.04 = 3,353.28/x
  3. Step 3: Cross multiply
    6,147.76x = 8,484.04 × 3,353.28
  4. Step 4: Simplify right side
    6,147.76x = 28,449,361.65
  5. Step 5: Solve for x
    x = 28,449,361.65/6,147.76
  6. Step 6: Final answer
    x = 4,627.60

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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.