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Finding the Fourth Proportional to 12,183.36, 16,804.68 and 7,470

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Solution

The fourth proportional to 12,183.36, 16,804.68 and 7,470 is: 10,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.36 : 16,804.68 = 7,470 : x
  2. Step 2: Convert to fraction form
    12,183.36/16,804.68 = 7,470/x
  3. Step 3: Cross multiply
    12,183.36x = 16,804.68 × 7,470
  4. Step 4: Simplify right side
    12,183.36x = 125,530,959.60
  5. Step 5: Solve for x
    x = 125,530,959.60/12,183.36
  6. Step 6: Final answer
    x = 10,303.48

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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.