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Finding the Fourth Proportional to 10,820.84, 16,231.26 and 2,612.84

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Solution

The fourth proportional to 10,820.84, 16,231.26 and 2,612.84 is: 3,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.84 : 16,231.26 = 2,612.84 : x
  2. Step 2: Convert to fraction form
    10,820.84/16,231.26 = 2,612.84/x
  3. Step 3: Cross multiply
    10,820.84x = 16,231.26 × 2,612.84
  4. Step 4: Simplify right side
    10,820.84x = 42,409,685.38
  5. Step 5: Solve for x
    x = 42,409,685.38/10,820.84
  6. Step 6: Final answer
    x = 3,919.26

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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.