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Finding the Fourth Proportional to 16,851, 23,254.38 and 9,399

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Solution

The fourth proportional to 16,851, 23,254.38 and 9,399 is: 12,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851 : 23,254.38 = 9,399 : x
  2. Step 2: Convert to fraction form
    16,851/23,254.38 = 9,399/x
  3. Step 3: Cross multiply
    16,851x = 23,254.38 × 9,399
  4. Step 4: Simplify right side
    16,851x = 218,567,917.62
  5. Step 5: Solve for x
    x = 218,567,917.62/16,851
  6. Step 6: Final answer
    x = 12,970.62

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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.