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Finding the Fourth Proportional to 17,850.78, 24,639.75 and 10,400.22

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Solution

The fourth proportional to 17,850.78, 24,639.75 and 10,400.22 is: 14,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.78 : 24,639.75 = 10,400.22 : x
  2. Step 2: Convert to fraction form
    17,850.78/24,639.75 = 10,400.22/x
  3. Step 3: Cross multiply
    17,850.78x = 24,639.75 × 10,400.22
  4. Step 4: Simplify right side
    17,850.78x = 256,258,820.75
  5. Step 5: Solve for x
    x = 256,258,820.75/17,850.78
  6. Step 6: Final answer
    x = 14,355.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.