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Finding the Fourth Proportional to 12,421.44, 18,640.80 and 8,028

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Solution

The fourth proportional to 12,421.44, 18,640.80 and 8,028 is: 12,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.44 : 18,640.80 = 8,028 : x
  2. Step 2: Convert to fraction form
    12,421.44/18,640.80 = 8,028/x
  3. Step 3: Cross multiply
    12,421.44x = 18,640.80 × 8,028
  4. Step 4: Simplify right side
    12,421.44x = 149,648,342.40
  5. Step 5: Solve for x
    x = 149,648,342.40/12,421.44
  6. Step 6: Final answer
    x = 12,047.58

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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.