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Finding the Fourth Proportional to 2,899.90, 4,349.80 and 2,019.94

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Solution

The fourth proportional to 2,899.90, 4,349.80 and 2,019.94 is: 3,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.90 : 4,349.80 = 2,019.94 : x
  2. Step 2: Convert to fraction form
    2,899.90/4,349.80 = 2,019.94/x
  3. Step 3: Cross multiply
    2,899.90x = 4,349.80 × 2,019.94
  4. Step 4: Simplify right side
    2,899.90x = 8,786,326.66
  5. Step 5: Solve for x
    x = 8,786,326.66/2,899.90
  6. Step 6: Final answer
    x = 3,029.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.