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Finding the Fourth Proportional to 6,760, 10,140 and 2,656

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Solution

The fourth proportional to 6,760, 10,140 and 2,656 is: 3,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760 : 10,140 = 2,656 : x
  2. Step 2: Convert to fraction form
    6,760/10,140 = 2,656/x
  3. Step 3: Cross multiply
    6,760x = 10,140 × 2,656
  4. Step 4: Simplify right side
    6,760x = 26,931,840
  5. Step 5: Solve for x
    x = 26,931,840/6,760
  6. Step 6: Final answer
    x = 3,984

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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.