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Finding the Fourth Proportional to 13,380.58, 18,472.55 and 9,138

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Solution

The fourth proportional to 13,380.58, 18,472.55 and 9,138 is: 12,615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.58 : 18,472.55 = 9,138 : x
  2. Step 2: Convert to fraction form
    13,380.58/18,472.55 = 9,138/x
  3. Step 3: Cross multiply
    13,380.58x = 18,472.55 × 9,138
  4. Step 4: Simplify right side
    13,380.58x = 168,802,161.90
  5. Step 5: Solve for x
    x = 168,802,161.90/13,380.58
  6. Step 6: Final answer
    x = 12,615.46

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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.