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Finding the Fourth Proportional to 11,480, 17,223.12 and 3,272

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Solution

The fourth proportional to 11,480, 17,223.12 and 3,272 is: 4,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480 : 17,223.12 = 3,272 : x
  2. Step 2: Convert to fraction form
    11,480/17,223.12 = 3,272/x
  3. Step 3: Cross multiply
    11,480x = 17,223.12 × 3,272
  4. Step 4: Simplify right side
    11,480x = 56,354,048.64
  5. Step 5: Solve for x
    x = 56,354,048.64/11,480
  6. Step 6: Final answer
    x = 4,908.89

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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.