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Finding the Fourth Proportional to 6,540, 9,810 and 1,676

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Solution

The fourth proportional to 6,540, 9,810 and 1,676 is: 2,514

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540 : 9,810 = 1,676 : x
  2. Step 2: Convert to fraction form
    6,540/9,810 = 1,676/x
  3. Step 3: Cross multiply
    6,540x = 9,810 × 1,676
  4. Step 4: Simplify right side
    6,540x = 16,441,560
  5. Step 5: Solve for x
    x = 16,441,560/6,540
  6. Step 6: Final answer
    x = 2,514

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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.