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Finding the Fourth Proportional to 3,884.84, 5,818.78 and 3,151

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Solution

The fourth proportional to 3,884.84, 5,818.78 and 3,151 is: 4,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.84 : 5,818.78 = 3,151 : x
  2. Step 2: Convert to fraction form
    3,884.84/5,818.78 = 3,151/x
  3. Step 3: Cross multiply
    3,884.84x = 5,818.78 × 3,151
  4. Step 4: Simplify right side
    3,884.84x = 18,334,975.78
  5. Step 5: Solve for x
    x = 18,334,975.78/3,884.84
  6. Step 6: Final answer
    x = 4,719.62

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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.