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Finding the Fourth Proportional to 3,780.72, 5,670.72 and 1,183.68

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Solution

The fourth proportional to 3,780.72, 5,670.72 and 1,183.68 is: 1,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.72 : 5,670.72 = 1,183.68 : x
  2. Step 2: Convert to fraction form
    3,780.72/5,670.72 = 1,183.68/x
  3. Step 3: Cross multiply
    3,780.72x = 5,670.72 × 1,183.68
  4. Step 4: Simplify right side
    3,780.72x = 6,712,317.85
  5. Step 5: Solve for x
    x = 6,712,317.85/3,780.72
  6. Step 6: Final answer
    x = 1,775.41

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1.5x scale

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.