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Finding the Fourth Proportional to 27,978.24, 38,608.84 and 16,033.28

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Solution

The fourth proportional to 27,978.24, 38,608.84 and 16,033.28 is: 22,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.24 : 38,608.84 = 16,033.28 : x
  2. Step 2: Convert to fraction form
    27,978.24/38,608.84 = 16,033.28/x
  3. Step 3: Cross multiply
    27,978.24x = 38,608.84 × 16,033.28
  4. Step 4: Simplify right side
    27,978.24x = 619,026,342.20
  5. Step 5: Solve for x
    x = 619,026,342.20/27,978.24
  6. Step 6: Final answer
    x = 22,125.28

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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.