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Finding the Fourth Proportional to 3,186.76, 4,781.76 and 1,455.16

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Solution

The fourth proportional to 3,186.76, 4,781.76 and 1,455.16 is: 2,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.76 : 4,781.76 = 1,455.16 : x
  2. Step 2: Convert to fraction form
    3,186.76/4,781.76 = 1,455.16/x
  3. Step 3: Cross multiply
    3,186.76x = 4,781.76 × 1,455.16
  4. Step 4: Simplify right side
    3,186.76x = 6,958,225.88
  5. Step 5: Solve for x
    x = 6,958,225.88/3,186.76
  6. Step 6: Final answer
    x = 2,183.48

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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.