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Finding the Fourth Proportional to 20,755, 28,641.90 and 13,303

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Solution

The fourth proportional to 20,755, 28,641.90 and 13,303 is: 18,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755 : 28,641.90 = 13,303 : x
  2. Step 2: Convert to fraction form
    20,755/28,641.90 = 13,303/x
  3. Step 3: Cross multiply
    20,755x = 28,641.90 × 13,303
  4. Step 4: Simplify right side
    20,755x = 381,023,195.70
  5. Step 5: Solve for x
    x = 381,023,195.70/20,755
  6. Step 6: Final answer
    x = 18,358.14

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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.