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Finding the Fourth Proportional to 10,665.92, 15,992.96 and 4,960.64

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Solution

The fourth proportional to 10,665.92, 15,992.96 and 4,960.64 is: 7,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.92 : 15,992.96 = 4,960.64 : x
  2. Step 2: Convert to fraction form
    10,665.92/15,992.96 = 4,960.64/x
  3. Step 3: Cross multiply
    10,665.92x = 15,992.96 × 4,960.64
  4. Step 4: Simplify right side
    10,665.92x = 79,335,317.09
  5. Step 5: Solve for x
    x = 79,335,317.09/10,665.92
  6. Step 6: Final answer
    x = 7,438.21

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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.