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Finding the Fourth Proportional to 11,256, 16,872.48 and 4,686

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Solution

The fourth proportional to 11,256, 16,872.48 and 4,686 is: 7,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256 : 16,872.48 = 4,686 : x
  2. Step 2: Convert to fraction form
    11,256/16,872.48 = 4,686/x
  3. Step 3: Cross multiply
    11,256x = 16,872.48 × 4,686
  4. Step 4: Simplify right side
    11,256x = 79,064,441.28
  5. Step 5: Solve for x
    x = 79,064,441.28/11,256
  6. Step 6: Final answer
    x = 7,024.20

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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.