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Finding the Fourth Proportional to 10,687.68, 14,746.68 and 6,212.16

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Solution

The fourth proportional to 10,687.68, 14,746.68 and 6,212.16 is: 8,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.68 : 14,746.68 = 6,212.16 : x
  2. Step 2: Convert to fraction form
    10,687.68/14,746.68 = 6,212.16/x
  3. Step 3: Cross multiply
    10,687.68x = 14,746.68 × 6,212.16
  4. Step 4: Simplify right side
    10,687.68x = 91,608,735.63
  5. Step 5: Solve for x
    x = 91,608,735.63/10,687.68
  6. Step 6: Final answer
    x = 8,571.43

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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.