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Finding the Fourth Proportional to 7,203, 10,804.50 and 3,099

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Solution

The fourth proportional to 7,203, 10,804.50 and 3,099 is: 4,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203 : 10,804.50 = 3,099 : x
  2. Step 2: Convert to fraction form
    7,203/10,804.50 = 3,099/x
  3. Step 3: Cross multiply
    7,203x = 10,804.50 × 3,099
  4. Step 4: Simplify right side
    7,203x = 33,483,145.50
  5. Step 5: Solve for x
    x = 33,483,145.50/7,203
  6. Step 6: Final answer
    x = 4,648.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.