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Finding the Fourth Proportional to 4,742.70, 7,104.81 and 2,889.22

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Solution

The fourth proportional to 4,742.70, 7,104.81 and 2,889.22 is: 4,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.70 : 7,104.81 = 2,889.22 : x
  2. Step 2: Convert to fraction form
    4,742.70/7,104.81 = 2,889.22/x
  3. Step 3: Cross multiply
    4,742.70x = 7,104.81 × 2,889.22
  4. Step 4: Simplify right side
    4,742.70x = 20,527,365.54
  5. Step 5: Solve for x
    x = 20,527,365.54/4,742.70
  6. Step 6: Final answer
    x = 4,328.20

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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.