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Finding the Fourth Proportional to 3,619.71, 5,420.71 and 3,269.12

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Solution

The fourth proportional to 3,619.71, 5,420.71 and 3,269.12 is: 4,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.71 : 5,420.71 = 3,269.12 : x
  2. Step 2: Convert to fraction form
    3,619.71/5,420.71 = 3,269.12/x
  3. Step 3: Cross multiply
    3,619.71x = 5,420.71 × 3,269.12
  4. Step 4: Simplify right side
    3,619.71x = 17,720,916.20
  5. Step 5: Solve for x
    x = 17,720,916.20/3,619.71
  6. Step 6: Final answer
    x = 4,895.67

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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.