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Finding the Fourth Proportional to 14,375.40, 21,564.11 and 8,138.40

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Solution

The fourth proportional to 14,375.40, 21,564.11 and 8,138.40 is: 12,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,375.40 : 21,564.11 = 8,138.40 : x
  2. Step 2: Convert to fraction form
    14,375.40/21,564.11 = 8,138.40/x
  3. Step 3: Cross multiply
    14,375.40x = 21,564.11 × 8,138.40
  4. Step 4: Simplify right side
    14,375.40x = 175,497,373.17
  5. Step 5: Solve for x
    x = 175,497,373.17/14,375.40
  6. Step 6: Final answer
    x = 12,208.17

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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.