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Finding the Fourth Proportional to 2,157.66, 3,220.97 and 1,829.70

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Solution

The fourth proportional to 2,157.66, 3,220.97 and 1,829.70 is: 2,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.66 : 3,220.97 = 1,829.70 : x
  2. Step 2: Convert to fraction form
    2,157.66/3,220.97 = 1,829.70/x
  3. Step 3: Cross multiply
    2,157.66x = 3,220.97 × 1,829.70
  4. Step 4: Simplify right side
    2,157.66x = 5,893,399.66
  5. Step 5: Solve for x
    x = 5,893,399.66/2,157.66
  6. Step 6: Final answer
    x = 2,731.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.