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Finding the Fourth Proportional to 3,224.40, 4,829.40 and 2,491.60

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Solution

The fourth proportional to 3,224.40, 4,829.40 and 2,491.60 is: 3,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.40 : 4,829.40 = 2,491.60 : x
  2. Step 2: Convert to fraction form
    3,224.40/4,829.40 = 2,491.60/x
  3. Step 3: Cross multiply
    3,224.40x = 4,829.40 × 2,491.60
  4. Step 4: Simplify right side
    3,224.40x = 12,032,933.04
  5. Step 5: Solve for x
    x = 12,032,933.04/3,224.40
  6. Step 6: Final answer
    x = 3,731.84

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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.