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Finding the Fourth Proportional to 2,580, 3,870 and 756

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Solution

The fourth proportional to 2,580, 3,870 and 756 is: 1,134

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580 : 3,870 = 756 : x
  2. Step 2: Convert to fraction form
    2,580/3,870 = 756/x
  3. Step 3: Cross multiply
    2,580x = 3,870 × 756
  4. Step 4: Simplify right side
    2,580x = 2,925,720
  5. Step 5: Solve for x
    x = 2,925,720/2,580
  6. Step 6: Final answer
    x = 1,134

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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.