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Finding the Fourth Proportional to 12,064.53, 18,065.64 and 8,327.84

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Solution

The fourth proportional to 12,064.53, 18,065.64 and 8,327.84 is: 12,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.53 : 18,065.64 = 8,327.84 : x
  2. Step 2: Convert to fraction form
    12,064.53/18,065.64 = 8,327.84/x
  3. Step 3: Cross multiply
    12,064.53x = 18,065.64 × 8,327.84
  4. Step 4: Simplify right side
    12,064.53x = 150,447,669.09
  5. Step 5: Solve for x
    x = 150,447,669.09/12,064.53
  6. Step 6: Final answer
    x = 12,470.25

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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.