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Finding the Fourth Proportional to 5,461.78, 8,186.19 and 2,997.76

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Solution

The fourth proportional to 5,461.78, 8,186.19 and 2,997.76 is: 4,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.78 : 8,186.19 = 2,997.76 : x
  2. Step 2: Convert to fraction form
    5,461.78/8,186.19 = 2,997.76/x
  3. Step 3: Cross multiply
    5,461.78x = 8,186.19 × 2,997.76
  4. Step 4: Simplify right side
    5,461.78x = 24,540,232.93
  5. Step 5: Solve for x
    x = 24,540,232.93/5,461.78
  6. Step 6: Final answer
    x = 4,493.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.