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Finding the Fourth Proportional to 3,289.76, 4,539.68 and 1,797.38

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Solution

The fourth proportional to 3,289.76, 4,539.68 and 1,797.38 is: 2,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.76 : 4,539.68 = 1,797.38 : x
  2. Step 2: Convert to fraction form
    3,289.76/4,539.68 = 1,797.38/x
  3. Step 3: Cross multiply
    3,289.76x = 4,539.68 × 1,797.38
  4. Step 4: Simplify right side
    3,289.76x = 8,159,539.14
  5. Step 5: Solve for x
    x = 8,159,539.14/3,289.76
  6. Step 6: Final answer
    x = 2,480.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.