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Finding the Fourth Proportional to 13,584.11, 20,382 and 7,348.50

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Solution

The fourth proportional to 13,584.11, 20,382 and 7,348.50 is: 11,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.11 : 20,382 = 7,348.50 : x
  2. Step 2: Convert to fraction form
    13,584.11/20,382 = 7,348.50/x
  3. Step 3: Cross multiply
    13,584.11x = 20,382 × 7,348.50
  4. Step 4: Simplify right side
    13,584.11x = 149,777,127
  5. Step 5: Solve for x
    x = 149,777,127/13,584.11
  6. Step 6: Final answer
    x = 11,025.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.