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Finding the Fourth Proportional to 16,872, 23,283.84 and 9,420.48

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Solution

The fourth proportional to 16,872, 23,283.84 and 9,420.48 is: 13,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872 : 23,283.84 = 9,420.48 : x
  2. Step 2: Convert to fraction form
    16,872/23,283.84 = 9,420.48/x
  3. Step 3: Cross multiply
    16,872x = 23,283.84 × 9,420.48
  4. Step 4: Simplify right side
    16,872x = 219,344,949.04
  5. Step 5: Solve for x
    x = 219,344,949.04/16,872
  6. Step 6: Final answer
    x = 13,000.53

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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.