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Finding the Fourth Proportional to 2,899.94, 4,003.65 and 1,906.88

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Solution

The fourth proportional to 2,899.94, 4,003.65 and 1,906.88 is: 2,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.94 : 4,003.65 = 1,906.88 : x
  2. Step 2: Convert to fraction form
    2,899.94/4,003.65 = 1,906.88/x
  3. Step 3: Cross multiply
    2,899.94x = 4,003.65 × 1,906.88
  4. Step 4: Simplify right side
    2,899.94x = 7,634,480.11
  5. Step 5: Solve for x
    x = 7,634,480.11/2,899.94
  6. Step 6: Final answer
    x = 2,632.63

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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.