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Finding the Fourth Proportional to 16,956, 23,399.57 and 9,402.64

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Solution

The fourth proportional to 16,956, 23,399.57 and 9,402.64 is: 12,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,956 : 23,399.57 = 9,402.64 : x
  2. Step 2: Convert to fraction form
    16,956/23,399.57 = 9,402.64/x
  3. Step 3: Cross multiply
    16,956x = 23,399.57 × 9,402.64
  4. Step 4: Simplify right side
    16,956x = 220,017,697.87
  5. Step 5: Solve for x
    x = 220,017,697.87/16,956
  6. Step 6: Final answer
    x = 12,975.80

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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.