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Finding the Fourth Proportional to 2,680, 4,020 and 856

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Solution

The fourth proportional to 2,680, 4,020 and 856 is: 1,284

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680 : 4,020 = 856 : x
  2. Step 2: Convert to fraction form
    2,680/4,020 = 856/x
  3. Step 3: Cross multiply
    2,680x = 4,020 × 856
  4. Step 4: Simplify right side
    2,680x = 3,441,120
  5. Step 5: Solve for x
    x = 3,441,120/2,680
  6. Step 6: Final answer
    x = 1,284

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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.