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Finding the Fourth Proportional to 18,917.16, 28,375.14 and 5,769

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Solution

The fourth proportional to 18,917.16, 28,375.14 and 5,769 is: 8,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,917.16 : 28,375.14 = 5,769 : x
  2. Step 2: Convert to fraction form
    18,917.16/28,375.14 = 5,769/x
  3. Step 3: Cross multiply
    18,917.16x = 28,375.14 × 5,769
  4. Step 4: Simplify right side
    18,917.16x = 163,696,182.66
  5. Step 5: Solve for x
    x = 163,696,182.66/18,917.16
  6. Step 6: Final answer
    x = 8,653.32

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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.