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Finding the Fourth Proportional to 13,432, 18,536.16 and 7,544

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Solution

The fourth proportional to 13,432, 18,536.16 and 7,544 is: 10,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432 : 18,536.16 = 7,544 : x
  2. Step 2: Convert to fraction form
    13,432/18,536.16 = 7,544/x
  3. Step 3: Cross multiply
    13,432x = 18,536.16 × 7,544
  4. Step 4: Simplify right side
    13,432x = 139,836,791.04
  5. Step 5: Solve for x
    x = 139,836,791.04/13,432
  6. Step 6: Final answer
    x = 10,410.72

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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.