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Finding the Fourth Proportional to 14,305, 21,460.26 and 6,914.56

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Solution

The fourth proportional to 14,305, 21,460.26 and 6,914.56 is: 10,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305 : 21,460.26 = 6,914.56 : x
  2. Step 2: Convert to fraction form
    14,305/21,460.26 = 6,914.56/x
  3. Step 3: Cross multiply
    14,305x = 21,460.26 × 6,914.56
  4. Step 4: Simplify right side
    14,305x = 148,388,255.39
  5. Step 5: Solve for x
    x = 148,388,255.39/14,305
  6. Step 6: Final answer
    x = 10,373.17

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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.