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Finding the Fourth Proportional to 10,619, 15,928.50 and 3,323

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Solution

The fourth proportional to 10,619, 15,928.50 and 3,323 is: 4,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619 : 15,928.50 = 3,323 : x
  2. Step 2: Convert to fraction form
    10,619/15,928.50 = 3,323/x
  3. Step 3: Cross multiply
    10,619x = 15,928.50 × 3,323
  4. Step 4: Simplify right side
    10,619x = 52,930,405.50
  5. Step 5: Solve for x
    x = 52,930,405.50/10,619
  6. Step 6: Final answer
    x = 4,984.50

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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.