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Finding the Fourth Proportional to 3,203.42, 4,804.05 and 1,641.74

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Solution

The fourth proportional to 3,203.42, 4,804.05 and 1,641.74 is: 2,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.42 : 4,804.05 = 1,641.74 : x
  2. Step 2: Convert to fraction form
    3,203.42/4,804.05 = 1,641.74/x
  3. Step 3: Cross multiply
    3,203.42x = 4,804.05 × 1,641.74
  4. Step 4: Simplify right side
    3,203.42x = 7,887,001.05
  5. Step 5: Solve for x
    x = 7,887,001.05/3,203.42
  6. Step 6: Final answer
    x = 2,462.06

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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.