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Finding the Fourth Proportional to 2,729.86, 3,767.02 and 1,610.55

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Solution

The fourth proportional to 2,729.86, 3,767.02 and 1,610.55 is: 2,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.86 : 3,767.02 = 1,610.55 : x
  2. Step 2: Convert to fraction form
    2,729.86/3,767.02 = 1,610.55/x
  3. Step 3: Cross multiply
    2,729.86x = 3,767.02 × 1,610.55
  4. Step 4: Simplify right side
    2,729.86x = 6,066,974.06
  5. Step 5: Solve for x
    x = 6,066,974.06/2,729.86
  6. Step 6: Final answer
    x = 2,222.45

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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.