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Finding the Fourth Proportional to 9,200, 13,802.04 and 3,356.59

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Solution

The fourth proportional to 9,200, 13,802.04 and 3,356.59 is: 5,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200 : 13,802.04 = 3,356.59 : x
  2. Step 2: Convert to fraction form
    9,200/13,802.04 = 3,356.59/x
  3. Step 3: Cross multiply
    9,200x = 13,802.04 × 3,356.59
  4. Step 4: Simplify right side
    9,200x = 46,327,789.44
  5. Step 5: Solve for x
    x = 46,327,789.44/9,200
  6. Step 6: Final answer
    x = 5,035.63

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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.