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Finding the Fourth Proportional to 2,729.78, 3,763.14 and 2,170.48

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Solution

The fourth proportional to 2,729.78, 3,763.14 and 2,170.48 is: 2,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.78 : 3,763.14 = 2,170.48 : x
  2. Step 2: Convert to fraction form
    2,729.78/3,763.14 = 2,170.48/x
  3. Step 3: Cross multiply
    2,729.78x = 3,763.14 × 2,170.48
  4. Step 4: Simplify right side
    2,729.78x = 8,167,820.11
  5. Step 5: Solve for x
    x = 8,167,820.11/2,729.78
  6. Step 6: Final answer
    x = 2,992.12

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1.5x scale

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.