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Finding the Fourth Proportional to 2,971.01, 4,100.02 and 1,644.69

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Solution

The fourth proportional to 2,971.01, 4,100.02 and 1,644.69 is: 2,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.01 : 4,100.02 = 1,644.69 : x
  2. Step 2: Convert to fraction form
    2,971.01/4,100.02 = 1,644.69/x
  3. Step 3: Cross multiply
    2,971.01x = 4,100.02 × 1,644.69
  4. Step 4: Simplify right side
    2,971.01x = 6,743,250.09
  5. Step 5: Solve for x
    x = 6,743,250.09/2,971.01
  6. Step 6: Final answer
    x = 2,269.68

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1.5x scale

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.