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Finding the Fourth Proportional to 3,203.42, 4,810.62 and 1,978.08

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Solution

The fourth proportional to 3,203.42, 4,810.62 and 1,978.08 is: 2,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.42 : 4,810.62 = 1,978.08 : x
  2. Step 2: Convert to fraction form
    3,203.42/4,810.62 = 1,978.08/x
  3. Step 3: Cross multiply
    3,203.42x = 4,810.62 × 1,978.08
  4. Step 4: Simplify right side
    3,203.42x = 9,515,791.21
  5. Step 5: Solve for x
    x = 9,515,791.21/3,203.42
  6. Step 6: Final answer
    x = 2,970.51

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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.