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Finding the Fourth Proportional to 1,977.86, 2,728.91 and 1,191.90

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Solution

The fourth proportional to 1,977.86, 2,728.91 and 1,191.90 is: 1,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.86 : 2,728.91 = 1,191.90 : x
  2. Step 2: Convert to fraction form
    1,977.86/2,728.91 = 1,191.90/x
  3. Step 3: Cross multiply
    1,977.86x = 2,728.91 × 1,191.90
  4. Step 4: Simplify right side
    1,977.86x = 3,252,587.83
  5. Step 5: Solve for x
    x = 3,252,587.83/1,977.86
  6. Step 6: Final answer
    x = 1,644.50

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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.