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Finding the Fourth Proportional to 18,213, 27,319.50 and 5,901

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Solution

The fourth proportional to 18,213, 27,319.50 and 5,901 is: 8,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,213 : 27,319.50 = 5,901 : x
  2. Step 2: Convert to fraction form
    18,213/27,319.50 = 5,901/x
  3. Step 3: Cross multiply
    18,213x = 27,319.50 × 5,901
  4. Step 4: Simplify right side
    18,213x = 161,212,369.50
  5. Step 5: Solve for x
    x = 161,212,369.50/18,213
  6. Step 6: Final answer
    x = 8,851.50

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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.