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Finding the Fourth Proportional to 18,223.50, 27,320.58 and 7,842.54

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Solution

The fourth proportional to 18,223.50, 27,320.58 and 7,842.54 is: 11,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.50 : 27,320.58 = 7,842.54 : x
  2. Step 2: Convert to fraction form
    18,223.50/27,320.58 = 7,842.54/x
  3. Step 3: Cross multiply
    18,223.50x = 27,320.58 × 7,842.54
  4. Step 4: Simplify right side
    18,223.50x = 214,262,741.47
  5. Step 5: Solve for x
    x = 214,262,741.47/18,223.50
  6. Step 6: Final answer
    x = 11,757.50

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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.