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Finding the Fourth Proportional to 2,820.71, 3,894.17 and 1,701.96

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Solution

The fourth proportional to 2,820.71, 3,894.17 and 1,701.96 is: 2,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.71 : 3,894.17 = 1,701.96 : x
  2. Step 2: Convert to fraction form
    2,820.71/3,894.17 = 1,701.96/x
  3. Step 3: Cross multiply
    2,820.71x = 3,894.17 × 1,701.96
  4. Step 4: Simplify right side
    2,820.71x = 6,627,713.06
  5. Step 5: Solve for x
    x = 6,627,713.06/2,820.71
  6. Step 6: Final answer
    x = 2,349.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.