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Finding the Fourth Proportional to 17,619, 26,428.50 and 5,307

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Solution

The fourth proportional to 17,619, 26,428.50 and 5,307 is: 7,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619 : 26,428.50 = 5,307 : x
  2. Step 2: Convert to fraction form
    17,619/26,428.50 = 5,307/x
  3. Step 3: Cross multiply
    17,619x = 26,428.50 × 5,307
  4. Step 4: Simplify right side
    17,619x = 140,256,049.50
  5. Step 5: Solve for x
    x = 140,256,049.50/17,619
  6. Step 6: Final answer
    x = 7,960.50

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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.