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Finding the Fourth Proportional to 6,469.76, 8,928.64 and 3,675.20

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Solution

The fourth proportional to 6,469.76, 8,928.64 and 3,675.20 is: 5,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.76 : 8,928.64 = 3,675.20 : x
  2. Step 2: Convert to fraction form
    6,469.76/8,928.64 = 3,675.20/x
  3. Step 3: Cross multiply
    6,469.76x = 8,928.64 × 3,675.20
  4. Step 4: Simplify right side
    6,469.76x = 32,814,537.73
  5. Step 5: Solve for x
    x = 32,814,537.73/6,469.76
  6. Step 6: Final answer
    x = 5,071.99

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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.