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Finding the Fourth Proportional to 2,676.94, 4,016.29 and 1,688.61

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Solution

The fourth proportional to 2,676.94, 4,016.29 and 1,688.61 is: 2,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.94 : 4,016.29 = 1,688.61 : x
  2. Step 2: Convert to fraction form
    2,676.94/4,016.29 = 1,688.61/x
  3. Step 3: Cross multiply
    2,676.94x = 4,016.29 × 1,688.61
  4. Step 4: Simplify right side
    2,676.94x = 6,781,947.46
  5. Step 5: Solve for x
    x = 6,781,947.46/2,676.94
  6. Step 6: Final answer
    x = 2,533.47

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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.