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Finding the Fourth Proportional to 2,712.78, 3,741.64 and 1,967.98

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Solution

The fourth proportional to 2,712.78, 3,741.64 and 1,967.98 is: 2,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.78 : 3,741.64 = 1,967.98 : x
  2. Step 2: Convert to fraction form
    2,712.78/3,741.64 = 1,967.98/x
  3. Step 3: Cross multiply
    2,712.78x = 3,741.64 × 1,967.98
  4. Step 4: Simplify right side
    2,712.78x = 7,363,472.69
  5. Step 5: Solve for x
    x = 7,363,472.69/2,712.78
  6. Step 6: Final answer
    x = 2,714.36

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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.