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Finding the Fourth Proportional to 6,619.56, 9,928.98 and 1,689

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Solution

The fourth proportional to 6,619.56, 9,928.98 and 1,689 is: 2,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619.56 : 9,928.98 = 1,689 : x
  2. Step 2: Convert to fraction form
    6,619.56/9,928.98 = 1,689/x
  3. Step 3: Cross multiply
    6,619.56x = 9,928.98 × 1,689
  4. Step 4: Simplify right side
    6,619.56x = 16,770,047.22
  5. Step 5: Solve for x
    x = 16,770,047.22/6,619.56
  6. Step 6: Final answer
    x = 2,533.41

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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.