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Finding the Fourth Proportional to 21,812.68, 32,728.74 and 11,422

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Solution

The fourth proportional to 21,812.68, 32,728.74 and 11,422 is: 17,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.68 : 32,728.74 = 11,422 : x
  2. Step 2: Convert to fraction form
    21,812.68/32,728.74 = 11,422/x
  3. Step 3: Cross multiply
    21,812.68x = 32,728.74 × 11,422
  4. Step 4: Simplify right side
    21,812.68x = 373,827,668.28
  5. Step 5: Solve for x
    x = 373,827,668.28/21,812.68
  6. Step 6: Final answer
    x = 17,138.09

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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.