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Finding the Fourth Proportional to 6,769, 10,155.30 and 2,152

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Solution

The fourth proportional to 6,769, 10,155.30 and 2,152 is: 3,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769 : 10,155.30 = 2,152 : x
  2. Step 2: Convert to fraction form
    6,769/10,155.30 = 2,152/x
  3. Step 3: Cross multiply
    6,769x = 10,155.30 × 2,152
  4. Step 4: Simplify right side
    6,769x = 21,854,205.60
  5. Step 5: Solve for x
    x = 21,854,205.60/6,769
  6. Step 6: Final answer
    x = 3,228.57

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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.