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Finding the Fourth Proportional to 12,798.09, 19,200.24 and 10,175.49

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Solution

The fourth proportional to 12,798.09, 19,200.24 and 10,175.49 is: 15,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.09 : 19,200.24 = 10,175.49 : x
  2. Step 2: Convert to fraction form
    12,798.09/19,200.24 = 10,175.49/x
  3. Step 3: Cross multiply
    12,798.09x = 19,200.24 × 10,175.49
  4. Step 4: Simplify right side
    12,798.09x = 195,371,850.12
  5. Step 5: Solve for x
    x = 195,371,850.12/12,798.09
  6. Step 6: Final answer
    x = 15,265.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.