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Finding the Fourth Proportional to 3,202.42, 4,809.12 and 1,977.07

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Solution

The fourth proportional to 3,202.42, 4,809.12 and 1,977.07 is: 2,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.42 : 4,809.12 = 1,977.07 : x
  2. Step 2: Convert to fraction form
    3,202.42/4,809.12 = 1,977.07/x
  3. Step 3: Cross multiply
    3,202.42x = 4,809.12 × 1,977.07
  4. Step 4: Simplify right side
    3,202.42x = 9,507,966.88
  5. Step 5: Solve for x
    x = 9,507,966.88/3,202.42
  6. Step 6: Final answer
    x = 2,968.99

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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.