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Finding the Fourth Proportional to 7,804.36, 10,767 and 4,815

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Solution

The fourth proportional to 7,804.36, 10,767 and 4,815 is: 6,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.36 : 10,767 = 4,815 : x
  2. Step 2: Convert to fraction form
    7,804.36/10,767 = 4,815/x
  3. Step 3: Cross multiply
    7,804.36x = 10,767 × 4,815
  4. Step 4: Simplify right side
    7,804.36x = 51,843,105
  5. Step 5: Solve for x
    x = 51,843,105/7,804.36
  6. Step 6: Final answer
    x = 6,642.84

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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.