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Finding the Fourth Proportional to 3,203.76, 4,804.20 and 2,649.72

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Solution

The fourth proportional to 3,203.76, 4,804.20 and 2,649.72 is: 3,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.76 : 4,804.20 = 2,649.72 : x
  2. Step 2: Convert to fraction form
    3,203.76/4,804.20 = 2,649.72/x
  3. Step 3: Cross multiply
    3,203.76x = 4,804.20 × 2,649.72
  4. Step 4: Simplify right side
    3,203.76x = 12,729,784.82
  5. Step 5: Solve for x
    x = 12,729,784.82/3,203.76
  6. Step 6: Final answer
    x = 3,973.39

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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.