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Finding the Fourth Proportional to 3,664, 5,491 and 1,688.48

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Solution

The fourth proportional to 3,664, 5,491 and 1,688.48 is: 2,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 5,491 = 1,688.48 : x
  2. Step 2: Convert to fraction form
    3,664/5,491 = 1,688.48/x
  3. Step 3: Cross multiply
    3,664x = 5,491 × 1,688.48
  4. Step 4: Simplify right side
    3,664x = 9,271,443.68
  5. Step 5: Solve for x
    x = 9,271,443.68/3,664
  6. Step 6: Final answer
    x = 2,530.42

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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.