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Finding the Fourth Proportional to 3,738.64, 5,576.80 and 3,610.68

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Solution

The fourth proportional to 3,738.64, 5,576.80 and 3,610.68 is: 5,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.64 : 5,576.80 = 3,610.68 : x
  2. Step 2: Convert to fraction form
    3,738.64/5,576.80 = 3,610.68/x
  3. Step 3: Cross multiply
    3,738.64x = 5,576.80 × 3,610.68
  4. Step 4: Simplify right side
    3,738.64x = 20,136,040.22
  5. Step 5: Solve for x
    x = 20,136,040.22/3,738.64
  6. Step 6: Final answer
    x = 5,385.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.