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Finding the Fourth Proportional to 3,188.98, 4,785.09 and 1,649.98

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Solution

The fourth proportional to 3,188.98, 4,785.09 and 1,649.98 is: 2,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.98 : 4,785.09 = 1,649.98 : x
  2. Step 2: Convert to fraction form
    3,188.98/4,785.09 = 1,649.98/x
  3. Step 3: Cross multiply
    3,188.98x = 4,785.09 × 1,649.98
  4. Step 4: Simplify right side
    3,188.98x = 7,895,302.80
  5. Step 5: Solve for x
    x = 7,895,302.80/3,188.98
  6. Step 6: Final answer
    x = 2,475.81

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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.