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Finding the Fourth Proportional to 13,432.97, 18,537.12 and 7,464.49

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Solution

The fourth proportional to 13,432.97, 18,537.12 and 7,464.49 is: 10,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.97 : 18,537.12 = 7,464.49 : x
  2. Step 2: Convert to fraction form
    13,432.97/18,537.12 = 7,464.49/x
  3. Step 3: Cross multiply
    13,432.97x = 18,537.12 × 7,464.49
  4. Step 4: Simplify right side
    13,432.97x = 138,370,100.53
  5. Step 5: Solve for x
    x = 138,370,100.53/13,432.97
  6. Step 6: Final answer
    x = 10,300.78

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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.