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Finding the Fourth Proportional to 3,745.54, 5,615.16 and 2,509.21

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Solution

The fourth proportional to 3,745.54, 5,615.16 and 2,509.21 is: 3,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.54 : 5,615.16 = 2,509.21 : x
  2. Step 2: Convert to fraction form
    3,745.54/5,615.16 = 2,509.21/x
  3. Step 3: Cross multiply
    3,745.54x = 5,615.16 × 2,509.21
  4. Step 4: Simplify right side
    3,745.54x = 14,089,615.62
  5. Step 5: Solve for x
    x = 14,089,615.62/3,745.54
  6. Step 6: Final answer
    x = 3,761.70

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1.5x scale

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.