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Finding the Fourth Proportional to 6,790, 9,369.60 and 3,804.88

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Solution

The fourth proportional to 6,790, 9,369.60 and 3,804.88 is: 5,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790 : 9,369.60 = 3,804.88 : x
  2. Step 2: Convert to fraction form
    6,790/9,369.60 = 3,804.88/x
  3. Step 3: Cross multiply
    6,790x = 9,369.60 × 3,804.88
  4. Step 4: Simplify right side
    6,790x = 35,650,203.65
  5. Step 5: Solve for x
    x = 35,650,203.65/6,790
  6. Step 6: Final answer
    x = 5,250.40

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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.