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Finding the Fourth Proportional to 18,917.28, 28,365.12 and 5,765.76

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Solution

The fourth proportional to 18,917.28, 28,365.12 and 5,765.76 is: 8,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,917.28 : 28,365.12 = 5,765.76 : x
  2. Step 2: Convert to fraction form
    18,917.28/28,365.12 = 5,765.76/x
  3. Step 3: Cross multiply
    18,917.28x = 28,365.12 × 5,765.76
  4. Step 4: Simplify right side
    18,917.28x = 163,546,474.29
  5. Step 5: Solve for x
    x = 163,546,474.29/18,917.28
  6. Step 6: Final answer
    x = 8,645.35

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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.