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Finding the Fourth Proportional to 14,202.25, 19,578.61 and 9,940.12

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Solution

The fourth proportional to 14,202.25, 19,578.61 and 9,940.12 is: 13,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.25 : 19,578.61 = 9,940.12 : x
  2. Step 2: Convert to fraction form
    14,202.25/19,578.61 = 9,940.12/x
  3. Step 3: Cross multiply
    14,202.25x = 19,578.61 × 9,940.12
  4. Step 4: Simplify right side
    14,202.25x = 194,613,732.83
  5. Step 5: Solve for x
    x = 194,613,732.83/14,202.25
  6. Step 6: Final answer
    x = 13,703.02

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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.