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Finding the Fourth Proportional to 10,728.54, 16,078.23 and 7,965.63

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Solution

The fourth proportional to 10,728.54, 16,078.23 and 7,965.63 is: 11,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.54 : 16,078.23 = 7,965.63 : x
  2. Step 2: Convert to fraction form
    10,728.54/16,078.23 = 7,965.63/x
  3. Step 3: Cross multiply
    10,728.54x = 16,078.23 × 7,965.63
  4. Step 4: Simplify right side
    10,728.54x = 128,073,231.23
  5. Step 5: Solve for x
    x = 128,073,231.23/10,728.54
  6. Step 6: Final answer
    x = 11,937.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.