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Finding the Fourth Proportional to 13,423.44, 18,524 and 7,455.12

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Solution

The fourth proportional to 13,423.44, 18,524 and 7,455.12 is: 10,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.44 : 18,524 = 7,455.12 : x
  2. Step 2: Convert to fraction form
    13,423.44/18,524 = 7,455.12/x
  3. Step 3: Cross multiply
    13,423.44x = 18,524 × 7,455.12
  4. Step 4: Simplify right side
    13,423.44x = 138,098,642.88
  5. Step 5: Solve for x
    x = 138,098,642.88/13,423.44
  6. Step 6: Final answer
    x = 10,287.87

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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.