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Finding the Fourth Proportional to 9,199.44, 13,796.28 and 3,042

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Solution

The fourth proportional to 9,199.44, 13,796.28 and 3,042 is: 4,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.44 : 13,796.28 = 3,042 : x
  2. Step 2: Convert to fraction form
    9,199.44/13,796.28 = 3,042/x
  3. Step 3: Cross multiply
    9,199.44x = 13,796.28 × 3,042
  4. Step 4: Simplify right side
    9,199.44x = 41,968,283.76
  5. Step 5: Solve for x
    x = 41,968,283.76/9,199.44
  6. Step 6: Final answer
    x = 4,562.05

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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.