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Finding the Fourth Proportional to 2,961.68, 4,087.80 and 1,967.00

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Solution

The fourth proportional to 2,961.68, 4,087.80 and 1,967.00 is: 2,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.68 : 4,087.80 = 1,967.00 : x
  2. Step 2: Convert to fraction form
    2,961.68/4,087.80 = 1,967.00/x
  3. Step 3: Cross multiply
    2,961.68x = 4,087.80 × 1,967.00
  4. Step 4: Simplify right side
    2,961.68x = 8,040,682.16
  5. Step 5: Solve for x
    x = 8,040,682.16/2,961.68
  6. Step 6: Final answer
    x = 2,714.91

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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.