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Finding the Fourth Proportional to 49,984, 68,978.64 and 27,628

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Solution

The fourth proportional to 49,984, 68,978.64 and 27,628 is: 38,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,984 : 68,978.64 = 27,628 : x
  2. Step 2: Convert to fraction form
    49,984/68,978.64 = 27,628/x
  3. Step 3: Cross multiply
    49,984x = 68,978.64 × 27,628
  4. Step 4: Simplify right side
    49,984x = 1,905,741,865.92
  5. Step 5: Solve for x
    x = 1,905,741,865.92/49,984
  6. Step 6: Final answer
    x = 38,127.04

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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.