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Finding the Fourth Proportional to 28,876, 39,848.90 and 15,628

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Solution

The fourth proportional to 28,876, 39,848.90 and 15,628 is: 21,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,876 : 39,848.90 = 15,628 : x
  2. Step 2: Convert to fraction form
    28,876/39,848.90 = 15,628/x
  3. Step 3: Cross multiply
    28,876x = 39,848.90 × 15,628
  4. Step 4: Simplify right side
    28,876x = 622,758,609.20
  5. Step 5: Solve for x
    x = 622,758,609.20/28,876
  6. Step 6: Final answer
    x = 21,566.65

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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.