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Finding the Fourth Proportional to 2,897.96, 3,997.80 and 2,099.99

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Solution

The fourth proportional to 2,897.96, 3,997.80 and 2,099.99 is: 2,896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.96 : 3,997.80 = 2,099.99 : x
  2. Step 2: Convert to fraction form
    2,897.96/3,997.80 = 2,099.99/x
  3. Step 3: Cross multiply
    2,897.96x = 3,997.80 × 2,099.99
  4. Step 4: Simplify right side
    2,897.96x = 8,395,350.02
  5. Step 5: Solve for x
    x = 8,395,350.02/2,897.96
  6. Step 6: Final answer
    x = 2,896.99

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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.