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Finding the Fourth Proportional to 2,897.66, 3,999.42 and 2,057.49

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Solution

The fourth proportional to 2,897.66, 3,999.42 and 2,057.49 is: 2,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.66 : 3,999.42 = 2,057.49 : x
  2. Step 2: Convert to fraction form
    2,897.66/3,999.42 = 2,057.49/x
  3. Step 3: Cross multiply
    2,897.66x = 3,999.42 × 2,057.49
  4. Step 4: Simplify right side
    2,897.66x = 8,228,766.66
  5. Step 5: Solve for x
    x = 8,228,766.66/2,897.66
  6. Step 6: Final answer
    x = 2,839.80

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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.