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Finding the Fourth Proportional to 1,977.57, 2,729.16 and 1,191.74

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Solution

The fourth proportional to 1,977.57, 2,729.16 and 1,191.74 is: 1,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.57 : 2,729.16 = 1,191.74 : x
  2. Step 2: Convert to fraction form
    1,977.57/2,729.16 = 1,191.74/x
  3. Step 3: Cross multiply
    1,977.57x = 2,729.16 × 1,191.74
  4. Step 4: Simplify right side
    1,977.57x = 3,252,435.49
  5. Step 5: Solve for x
    x = 3,252,435.49/1,977.57
  6. Step 6: Final answer
    x = 1,644.66

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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.