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Finding the Fourth Proportional to 16,929, 23,362.02 and 9,477

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Solution

The fourth proportional to 16,929, 23,362.02 and 9,477 is: 13,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929 : 23,362.02 = 9,477 : x
  2. Step 2: Convert to fraction form
    16,929/23,362.02 = 9,477/x
  3. Step 3: Cross multiply
    16,929x = 23,362.02 × 9,477
  4. Step 4: Simplify right side
    16,929x = 221,401,863.54
  5. Step 5: Solve for x
    x = 221,401,863.54/16,929
  6. Step 6: Final answer
    x = 13,078.26

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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.