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Finding the Fourth Proportional to 2,729.37, 4,093.91 and 880.45

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Solution

The fourth proportional to 2,729.37, 4,093.91 and 880.45 is: 1,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.37 : 4,093.91 = 880.45 : x
  2. Step 2: Convert to fraction form
    2,729.37/4,093.91 = 880.45/x
  3. Step 3: Cross multiply
    2,729.37x = 4,093.91 × 880.45
  4. Step 4: Simplify right side
    2,729.37x = 3,604,483.06
  5. Step 5: Solve for x
    x = 3,604,483.06/2,729.37
  6. Step 6: Final answer
    x = 1,320.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.