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Finding the Fourth Proportional to 8,735.94, 13,102.65 and 2,891.79

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Solution

The fourth proportional to 8,735.94, 13,102.65 and 2,891.79 is: 4,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.94 : 13,102.65 = 2,891.79 : x
  2. Step 2: Convert to fraction form
    8,735.94/13,102.65 = 2,891.79/x
  3. Step 3: Cross multiply
    8,735.94x = 13,102.65 × 2,891.79
  4. Step 4: Simplify right side
    8,735.94x = 37,890,112.24
  5. Step 5: Solve for x
    x = 37,890,112.24/8,735.94
  6. Step 6: Final answer
    x = 4,337.27

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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.