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Finding the Fourth Proportional to 11,832, 16,328.16 and 6,864.96

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Solution

The fourth proportional to 11,832, 16,328.16 and 6,864.96 is: 9,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832 : 16,328.16 = 6,864.96 : x
  2. Step 2: Convert to fraction form
    11,832/16,328.16 = 6,864.96/x
  3. Step 3: Cross multiply
    11,832x = 16,328.16 × 6,864.96
  4. Step 4: Simplify right side
    11,832x = 112,092,165.27
  5. Step 5: Solve for x
    x = 112,092,165.27/11,832
  6. Step 6: Final answer
    x = 9,473.64

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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.