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Finding the Fourth Proportional to 13,422.33, 18,522 and 7,453.89

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Solution

The fourth proportional to 13,422.33, 18,522 and 7,453.89 is: 10,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.33 : 18,522 = 7,453.89 : x
  2. Step 2: Convert to fraction form
    13,422.33/18,522 = 7,453.89/x
  3. Step 3: Cross multiply
    13,422.33x = 18,522 × 7,453.89
  4. Step 4: Simplify right side
    13,422.33x = 138,060,950.58
  5. Step 5: Solve for x
    x = 138,060,950.58/13,422.33
  6. Step 6: Final answer
    x = 10,285.92

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Why These Related Problems?

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