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Finding the Fourth Proportional to 2,289.76, 3,436.32 and 829.02

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Solution

The fourth proportional to 2,289.76, 3,436.32 and 829.02 is: 1,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.76 : 3,436.32 = 829.02 : x
  2. Step 2: Convert to fraction form
    2,289.76/3,436.32 = 829.02/x
  3. Step 3: Cross multiply
    2,289.76x = 3,436.32 × 829.02
  4. Step 4: Simplify right side
    2,289.76x = 2,848,778.01
  5. Step 5: Solve for x
    x = 2,848,778.01/2,289.76
  6. Step 6: Final answer
    x = 1,244.14

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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.