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Finding the Fourth Proportional to 2,068.84, 2,851.26 and 1,676.80

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Solution

The fourth proportional to 2,068.84, 2,851.26 and 1,676.80 is: 2,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.84 : 2,851.26 = 1,676.80 : x
  2. Step 2: Convert to fraction form
    2,068.84/2,851.26 = 1,676.80/x
  3. Step 3: Cross multiply
    2,068.84x = 2,851.26 × 1,676.80
  4. Step 4: Simplify right side
    2,068.84x = 4,780,992.77
  5. Step 5: Solve for x
    x = 4,780,992.77/2,068.84
  6. Step 6: Final answer
    x = 2,310.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.