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Finding the Fourth Proportional to 18,874.85, 28,316.25 and 7,781.45

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Solution

The fourth proportional to 18,874.85, 28,316.25 and 7,781.45 is: 11,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,874.85 : 28,316.25 = 7,781.45 : x
  2. Step 2: Convert to fraction form
    18,874.85/28,316.25 = 7,781.45/x
  3. Step 3: Cross multiply
    18,874.85x = 28,316.25 × 7,781.45
  4. Step 4: Simplify right side
    18,874.85x = 220,341,483.56
  5. Step 5: Solve for x
    x = 220,341,483.56/18,874.85
  6. Step 6: Final answer
    x = 11,673.81

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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.