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Finding the Fourth Proportional to 3,476.69, 5,212.29 and 1,720.46

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Solution

The fourth proportional to 3,476.69, 5,212.29 and 1,720.46 is: 2,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.69 : 5,212.29 = 1,720.46 : x
  2. Step 2: Convert to fraction form
    3,476.69/5,212.29 = 1,720.46/x
  3. Step 3: Cross multiply
    3,476.69x = 5,212.29 × 1,720.46
  4. Step 4: Simplify right side
    3,476.69x = 8,967,555.94
  5. Step 5: Solve for x
    x = 8,967,555.94/3,476.69
  6. Step 6: Final answer
    x = 2,579.34

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1.5x scale

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.