Home / 3,100-4,272.90-2,157.16

Finding the Fourth Proportional to 3,100, 4,272.90 and 2,157.16

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Solution

The fourth proportional to 3,100, 4,272.90 and 2,157.16 is: 2,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100 : 4,272.90 = 2,157.16 : x
  2. Step 2: Convert to fraction form
    3,100/4,272.90 = 2,157.16/x
  3. Step 3: Cross multiply
    3,100x = 4,272.90 × 2,157.16
  4. Step 4: Simplify right side
    3,100x = 9,217,328.96
  5. Step 5: Solve for x
    x = 9,217,328.96/3,100
  6. Step 6: Final answer
    x = 2,973.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.