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Finding the Fourth Proportional to 3,765.12, 5,669.76 and 3,283.92

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Solution

The fourth proportional to 3,765.12, 5,669.76 and 3,283.92 is: 4,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.12 : 5,669.76 = 3,283.92 : x
  2. Step 2: Convert to fraction form
    3,765.12/5,669.76 = 3,283.92/x
  3. Step 3: Cross multiply
    3,765.12x = 5,669.76 × 3,283.92
  4. Step 4: Simplify right side
    3,765.12x = 18,619,038.26
  5. Step 5: Solve for x
    x = 18,619,038.26/3,765.12
  6. Step 6: Final answer
    x = 4,945.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.