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Finding the Fourth Proportional to 3,763, 5,645.58 and 1,455.16

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Solution

The fourth proportional to 3,763, 5,645.58 and 1,455.16 is: 2,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763 : 5,645.58 = 1,455.16 : x
  2. Step 2: Convert to fraction form
    3,763/5,645.58 = 1,455.16/x
  3. Step 3: Cross multiply
    3,763x = 5,645.58 × 1,455.16
  4. Step 4: Simplify right side
    3,763x = 8,215,222.19
  5. Step 5: Solve for x
    x = 8,215,222.19/3,763
  6. Step 6: Final answer
    x = 2,183.16

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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.