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Finding the Fourth Proportional to 11,619, 17,428.50 and 4,693.50

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Solution

The fourth proportional to 11,619, 17,428.50 and 4,693.50 is: 7,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619 : 17,428.50 = 4,693.50 : x
  2. Step 2: Convert to fraction form
    11,619/17,428.50 = 4,693.50/x
  3. Step 3: Cross multiply
    11,619x = 17,428.50 × 4,693.50
  4. Step 4: Simplify right side
    11,619x = 81,800,664.75
  5. Step 5: Solve for x
    x = 81,800,664.75/11,619
  6. Step 6: Final answer
    x = 7,040.25

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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.