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Finding the Fourth Proportional to 1,977.92, 2,729.60 and 1,093.64

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Solution

The fourth proportional to 1,977.92, 2,729.60 and 1,093.64 is: 1,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.92 : 2,729.60 = 1,093.64 : x
  2. Step 2: Convert to fraction form
    1,977.92/2,729.60 = 1,093.64/x
  3. Step 3: Cross multiply
    1,977.92x = 2,729.60 × 1,093.64
  4. Step 4: Simplify right side
    1,977.92x = 2,985,199.74
  5. Step 5: Solve for x
    x = 2,985,199.74/1,977.92
  6. Step 6: Final answer
    x = 1,509.26

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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.