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Finding the Fourth Proportional to 2,999.39, 4,142.00 and 2,835.77

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Solution

The fourth proportional to 2,999.39, 4,142.00 and 2,835.77 is: 3,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.39 : 4,142.00 = 2,835.77 : x
  2. Step 2: Convert to fraction form
    2,999.39/4,142.00 = 2,835.77/x
  3. Step 3: Cross multiply
    2,999.39x = 4,142.00 × 2,835.77
  4. Step 4: Simplify right side
    2,999.39x = 11,745,745.72
  5. Step 5: Solve for x
    x = 11,745,745.72/2,999.39
  6. Step 6: Final answer
    x = 3,916.05

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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.