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Finding the Fourth Proportional to 6,757, 10,135.50 and 2,140

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Solution

The fourth proportional to 6,757, 10,135.50 and 2,140 is: 3,210

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757 : 10,135.50 = 2,140 : x
  2. Step 2: Convert to fraction form
    6,757/10,135.50 = 2,140/x
  3. Step 3: Cross multiply
    6,757x = 10,135.50 × 2,140
  4. Step 4: Simplify right side
    6,757x = 21,689,970
  5. Step 5: Solve for x
    x = 21,689,970/6,757
  6. Step 6: Final answer
    x = 3,210

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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.