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Finding the Fourth Proportional to 1,977.83, 2,729.03 and 1,191.93

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Solution

The fourth proportional to 1,977.83, 2,729.03 and 1,191.93 is: 1,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.83 : 2,729.03 = 1,191.93 : x
  2. Step 2: Convert to fraction form
    1,977.83/2,729.03 = 1,191.93/x
  3. Step 3: Cross multiply
    1,977.83x = 2,729.03 × 1,191.93
  4. Step 4: Simplify right side
    1,977.83x = 3,252,806.77
  5. Step 5: Solve for x
    x = 3,252,806.77/1,977.83
  6. Step 6: Final answer
    x = 1,644.64

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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.