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Finding the Fourth Proportional to 12,942.75, 17,861 and 7,353.75

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Solution

The fourth proportional to 12,942.75, 17,861 and 7,353.75 is: 10,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.75 : 17,861 = 7,353.75 : x
  2. Step 2: Convert to fraction form
    12,942.75/17,861 = 7,353.75/x
  3. Step 3: Cross multiply
    12,942.75x = 17,861 × 7,353.75
  4. Step 4: Simplify right side
    12,942.75x = 131,345,328.75
  5. Step 5: Solve for x
    x = 131,345,328.75/12,942.75
  6. Step 6: Final answer
    x = 10,148.18

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1.5x scale

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.