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Finding the Fourth Proportional to 20,638.06, 30,951 and 8,791.70

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Solution

The fourth proportional to 20,638.06, 30,951 and 8,791.70 is: 13,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.06 : 30,951 = 8,791.70 : x
  2. Step 2: Convert to fraction form
    20,638.06/30,951 = 8,791.70/x
  3. Step 3: Cross multiply
    20,638.06x = 30,951 × 8,791.70
  4. Step 4: Simplify right side
    20,638.06x = 272,111,751.95
  5. Step 5: Solve for x
    x = 272,111,751.95/20,638.06
  6. Step 6: Final answer
    x = 13,184.95

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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.