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Finding the Fourth Proportional to 2,893.94, 3,989.49 and 2,064.50

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Solution

The fourth proportional to 2,893.94, 3,989.49 and 2,064.50 is: 2,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.94 : 3,989.49 = 2,064.50 : x
  2. Step 2: Convert to fraction form
    2,893.94/3,989.49 = 2,064.50/x
  3. Step 3: Cross multiply
    2,893.94x = 3,989.49 × 2,064.50
  4. Step 4: Simplify right side
    2,893.94x = 8,236,302.11
  5. Step 5: Solve for x
    x = 8,236,302.11/2,893.94
  6. Step 6: Final answer
    x = 2,846.05

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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.