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Finding the Fourth Proportional to 2,676.78, 4,013.74 and 1,215.14

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Solution

The fourth proportional to 2,676.78, 4,013.74 and 1,215.14 is: 1,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.78 : 4,013.74 = 1,215.14 : x
  2. Step 2: Convert to fraction form
    2,676.78/4,013.74 = 1,215.14/x
  3. Step 3: Cross multiply
    2,676.78x = 4,013.74 × 1,215.14
  4. Step 4: Simplify right side
    2,676.78x = 4,877,256.02
  5. Step 5: Solve for x
    x = 4,877,256.02/2,676.78
  6. Step 6: Final answer
    x = 1,822.06

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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.