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Finding the Fourth Proportional to 12,268.86, 18,406 and 4,477.64

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Solution

The fourth proportional to 12,268.86, 18,406 and 4,477.64 is: 6,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.86 : 18,406 = 4,477.64 : x
  2. Step 2: Convert to fraction form
    12,268.86/18,406 = 4,477.64/x
  3. Step 3: Cross multiply
    12,268.86x = 18,406 × 4,477.64
  4. Step 4: Simplify right side
    12,268.86x = 82,415,441.84
  5. Step 5: Solve for x
    x = 82,415,441.84/12,268.86
  6. Step 6: Final answer
    x = 6,717.45

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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.