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Finding the Fourth Proportional to 1,977.94, 2,729.48 and 1,093.74

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Solution

The fourth proportional to 1,977.94, 2,729.48 and 1,093.74 is: 1,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.94 : 2,729.48 = 1,093.74 : x
  2. Step 2: Convert to fraction form
    1,977.94/2,729.48 = 1,093.74/x
  3. Step 3: Cross multiply
    1,977.94x = 2,729.48 × 1,093.74
  4. Step 4: Simplify right side
    1,977.94x = 2,985,341.46
  5. Step 5: Solve for x
    x = 2,985,341.46/1,977.94
  6. Step 6: Final answer
    x = 1,509.32

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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.