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Finding the Fourth Proportional to 12,243.54, 18,366 and 3,477.75

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Solution

The fourth proportional to 12,243.54, 18,366 and 3,477.75 is: 5,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.54 : 18,366 = 3,477.75 : x
  2. Step 2: Convert to fraction form
    12,243.54/18,366 = 3,477.75/x
  3. Step 3: Cross multiply
    12,243.54x = 18,366 × 3,477.75
  4. Step 4: Simplify right side
    12,243.54x = 63,872,356.50
  5. Step 5: Solve for x
    x = 63,872,356.50/12,243.54
  6. Step 6: Final answer
    x = 5,216.82

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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.