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Finding the Fourth Proportional to 3,289.44, 4,935.16 and 1,439.68

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Solution

The fourth proportional to 3,289.44, 4,935.16 and 1,439.68 is: 2,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.44 : 4,935.16 = 1,439.68 : x
  2. Step 2: Convert to fraction form
    3,289.44/4,935.16 = 1,439.68/x
  3. Step 3: Cross multiply
    3,289.44x = 4,935.16 × 1,439.68
  4. Step 4: Simplify right side
    3,289.44x = 7,105,051.15
  5. Step 5: Solve for x
    x = 7,105,051.15/3,289.44
  6. Step 6: Final answer
    x = 2,159.96

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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.