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Finding the Fourth Proportional to 14,553, 20,083.14 and 7,929

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Solution

The fourth proportional to 14,553, 20,083.14 and 7,929 is: 10,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553 : 20,083.14 = 7,929 : x
  2. Step 2: Convert to fraction form
    14,553/20,083.14 = 7,929/x
  3. Step 3: Cross multiply
    14,553x = 20,083.14 × 7,929
  4. Step 4: Simplify right side
    14,553x = 159,239,217.06
  5. Step 5: Solve for x
    x = 159,239,217.06/14,553
  6. Step 6: Final answer
    x = 10,942.02

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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.