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Finding the Fourth Proportional to 18,182.88, 27,263.52 and 7,788.96

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Solution

The fourth proportional to 18,182.88, 27,263.52 and 7,788.96 is: 11,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,182.88 : 27,263.52 = 7,788.96 : x
  2. Step 2: Convert to fraction form
    18,182.88/27,263.52 = 7,788.96/x
  3. Step 3: Cross multiply
    18,182.88x = 27,263.52 × 7,788.96
  4. Step 4: Simplify right side
    18,182.88x = 212,354,466.74
  5. Step 5: Solve for x
    x = 212,354,466.74/18,182.88
  6. Step 6: Final answer
    x = 11,678.81

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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.