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Finding the Fourth Proportional to 11,728.64, 16,176.66 and 7,481

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Solution

The fourth proportional to 11,728.64, 16,176.66 and 7,481 is: 10,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.64 : 16,176.66 = 7,481 : x
  2. Step 2: Convert to fraction form
    11,728.64/16,176.66 = 7,481/x
  3. Step 3: Cross multiply
    11,728.64x = 16,176.66 × 7,481
  4. Step 4: Simplify right side
    11,728.64x = 121,017,593.46
  5. Step 5: Solve for x
    x = 121,017,593.46/11,728.64
  6. Step 6: Final answer
    x = 10,318.13

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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.