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Finding the Fourth Proportional to 11,961.72, 16,502.94 and 7,181.64

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Solution

The fourth proportional to 11,961.72, 16,502.94 and 7,181.64 is: 9,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.72 : 16,502.94 = 7,181.64 : x
  2. Step 2: Convert to fraction form
    11,961.72/16,502.94 = 7,181.64/x
  3. Step 3: Cross multiply
    11,961.72x = 16,502.94 × 7,181.64
  4. Step 4: Simplify right side
    11,961.72x = 118,518,174.02
  5. Step 5: Solve for x
    x = 118,518,174.02/11,961.72
  6. Step 6: Final answer
    x = 9,908.12

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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.