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Finding the Fourth Proportional to 3,411.69, 5,122.53 and 2,984.01

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Solution

The fourth proportional to 3,411.69, 5,122.53 and 2,984.01 is: 4,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.69 : 5,122.53 = 2,984.01 : x
  2. Step 2: Convert to fraction form
    3,411.69/5,122.53 = 2,984.01/x
  3. Step 3: Cross multiply
    3,411.69x = 5,122.53 × 2,984.01
  4. Step 4: Simplify right side
    3,411.69x = 15,285,680.75
  5. Step 5: Solve for x
    x = 15,285,680.75/3,411.69
  6. Step 6: Final answer
    x = 4,480.38

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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.