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Finding the Fourth Proportional to 2,405.70, 3,600.55 and 1,745.70

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Solution

The fourth proportional to 2,405.70, 3,600.55 and 1,745.70 is: 2,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.70 : 3,600.55 = 1,745.70 : x
  2. Step 2: Convert to fraction form
    2,405.70/3,600.55 = 1,745.70/x
  3. Step 3: Cross multiply
    2,405.70x = 3,600.55 × 1,745.70
  4. Step 4: Simplify right side
    2,405.70x = 6,285,480.14
  5. Step 5: Solve for x
    x = 6,285,480.14/2,405.70
  6. Step 6: Final answer
    x = 2,612.74

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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.