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Finding the Fourth Proportional to 1,977.63, 2,967.63 and 791.46

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Solution

The fourth proportional to 1,977.63, 2,967.63 and 791.46 is: 1,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.63 : 2,967.63 = 791.46 : x
  2. Step 2: Convert to fraction form
    1,977.63/2,967.63 = 791.46/x
  3. Step 3: Cross multiply
    1,977.63x = 2,967.63 × 791.46
  4. Step 4: Simplify right side
    1,977.63x = 2,348,760.44
  5. Step 5: Solve for x
    x = 2,348,760.44/1,977.63
  6. Step 6: Final answer
    x = 1,187.66

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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.