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Finding the Fourth Proportional to 16,755.07, 23,129.86 and 9,680.12

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Solution

The fourth proportional to 16,755.07, 23,129.86 and 9,680.12 is: 13,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,755.07 : 23,129.86 = 9,680.12 : x
  2. Step 2: Convert to fraction form
    16,755.07/23,129.86 = 9,680.12/x
  3. Step 3: Cross multiply
    16,755.07x = 23,129.86 × 9,680.12
  4. Step 4: Simplify right side
    16,755.07x = 223,899,820.38
  5. Step 5: Solve for x
    x = 223,899,820.38/16,755.07
  6. Step 6: Final answer
    x = 13,363.11

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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.