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Finding the Fourth Proportional to 4,978.64, 7,464.49 and 2,203.79

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Solution

The fourth proportional to 4,978.64, 7,464.49 and 2,203.79 is: 3,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.64 : 7,464.49 = 2,203.79 : x
  2. Step 2: Convert to fraction form
    4,978.64/7,464.49 = 2,203.79/x
  3. Step 3: Cross multiply
    4,978.64x = 7,464.49 × 2,203.79
  4. Step 4: Simplify right side
    4,978.64x = 16,450,153.58
  5. Step 5: Solve for x
    x = 16,450,153.58/4,978.64
  6. Step 6: Final answer
    x = 3,304.15

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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.