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Finding the Fourth Proportional to 3,640.80, 5,461.71 and 1,419.21

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Solution

The fourth proportional to 3,640.80, 5,461.71 and 1,419.21 is: 2,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.80 : 5,461.71 = 1,419.21 : x
  2. Step 2: Convert to fraction form
    3,640.80/5,461.71 = 1,419.21/x
  3. Step 3: Cross multiply
    3,640.80x = 5,461.71 × 1,419.21
  4. Step 4: Simplify right side
    3,640.80x = 7,751,313.45
  5. Step 5: Solve for x
    x = 7,751,313.45/3,640.80
  6. Step 6: Final answer
    x = 2,129.01

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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.