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Finding the Fourth Proportional to 2,699.64, 4,043.15 and 2,078.41

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Solution

The fourth proportional to 2,699.64, 4,043.15 and 2,078.41 is: 3,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.64 : 4,043.15 = 2,078.41 : x
  2. Step 2: Convert to fraction form
    2,699.64/4,043.15 = 2,078.41/x
  3. Step 3: Cross multiply
    2,699.64x = 4,043.15 × 2,078.41
  4. Step 4: Simplify right side
    2,699.64x = 8,403,328.59
  5. Step 5: Solve for x
    x = 8,403,328.59/2,699.64
  6. Step 6: Final answer
    x = 3,112.76

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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.