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Finding the Fourth Proportional to 12,452.54, 17,182.53 and 7,146.43

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Solution

The fourth proportional to 12,452.54, 17,182.53 and 7,146.43 is: 9,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.54 : 17,182.53 = 7,146.43 : x
  2. Step 2: Convert to fraction form
    12,452.54/17,182.53 = 7,146.43/x
  3. Step 3: Cross multiply
    12,452.54x = 17,182.53 × 7,146.43
  4. Step 4: Simplify right side
    12,452.54x = 122,793,704.91
  5. Step 5: Solve for x
    x = 122,793,704.91/12,452.54
  6. Step 6: Final answer
    x = 9,860.94

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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.