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Finding the Fourth Proportional to 12,262, 18,393.36 and 3,028

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Solution

The fourth proportional to 12,262, 18,393.36 and 3,028 is: 4,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262 : 18,393.36 = 3,028 : x
  2. Step 2: Convert to fraction form
    12,262/18,393.36 = 3,028/x
  3. Step 3: Cross multiply
    12,262x = 18,393.36 × 3,028
  4. Step 4: Simplify right side
    12,262x = 55,695,094.08
  5. Step 5: Solve for x
    x = 55,695,094.08/12,262
  6. Step 6: Final answer
    x = 4,542.09

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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.