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Finding the Fourth Proportional to 22,771.68, 31,428 and 13,344

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Solution

The fourth proportional to 22,771.68, 31,428 and 13,344 is: 18,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.68 : 31,428 = 13,344 : x
  2. Step 2: Convert to fraction form
    22,771.68/31,428 = 13,344/x
  3. Step 3: Cross multiply
    22,771.68x = 31,428 × 13,344
  4. Step 4: Simplify right side
    22,771.68x = 419,375,232
  5. Step 5: Solve for x
    x = 419,375,232/22,771.68
  6. Step 6: Final answer
    x = 18,416.53

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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.