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Finding the Fourth Proportional to 14,002.78, 20,997.93 and 7,427.47

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Solution

The fourth proportional to 14,002.78, 20,997.93 and 7,427.47 is: 11,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.78 : 20,997.93 = 7,427.47 : x
  2. Step 2: Convert to fraction form
    14,002.78/20,997.93 = 7,427.47/x
  3. Step 3: Cross multiply
    14,002.78x = 20,997.93 × 7,427.47
  4. Step 4: Simplify right side
    14,002.78x = 155,961,495.14
  5. Step 5: Solve for x
    x = 155,961,495.14/14,002.78
  6. Step 6: Final answer
    x = 11,137.90

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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.