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Finding the Fourth Proportional to 12,659.50, 18,991.68 and 5,734

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Solution

The fourth proportional to 12,659.50, 18,991.68 and 5,734 is: 8,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.50 : 18,991.68 = 5,734 : x
  2. Step 2: Convert to fraction form
    12,659.50/18,991.68 = 5,734/x
  3. Step 3: Cross multiply
    12,659.50x = 18,991.68 × 5,734
  4. Step 4: Simplify right side
    12,659.50x = 108,898,293.12
  5. Step 5: Solve for x
    x = 108,898,293.12/12,659.50
  6. Step 6: Final answer
    x = 8,602.10

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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.