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Finding the Fourth Proportional to 2,740.66, 3,782.70 and 1,745.71

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Solution

The fourth proportional to 2,740.66, 3,782.70 and 1,745.71 is: 2,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.66 : 3,782.70 = 1,745.71 : x
  2. Step 2: Convert to fraction form
    2,740.66/3,782.70 = 1,745.71/x
  3. Step 3: Cross multiply
    2,740.66x = 3,782.70 × 1,745.71
  4. Step 4: Simplify right side
    2,740.66x = 6,603,497.22
  5. Step 5: Solve for x
    x = 6,603,497.22/2,740.66
  6. Step 6: Final answer
    x = 2,409.46

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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.