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Finding the Fourth Proportional to 1,977.76, 2,729.73 and 1,645.86

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Solution

The fourth proportional to 1,977.76, 2,729.73 and 1,645.86 is: 2,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.76 : 2,729.73 = 1,645.86 : x
  2. Step 2: Convert to fraction form
    1,977.76/2,729.73 = 1,645.86/x
  3. Step 3: Cross multiply
    1,977.76x = 2,729.73 × 1,645.86
  4. Step 4: Simplify right side
    1,977.76x = 4,492,745.19
  5. Step 5: Solve for x
    x = 4,492,745.19/1,977.76
  6. Step 6: Final answer
    x = 2,271.63

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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.