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Finding the Fourth Proportional to 21,468, 29,615.76 and 15,183.84

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Solution

The fourth proportional to 21,468, 29,615.76 and 15,183.84 is: 20,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,468 : 29,615.76 = 15,183.84 : x
  2. Step 2: Convert to fraction form
    21,468/29,615.76 = 15,183.84/x
  3. Step 3: Cross multiply
    21,468x = 29,615.76 × 15,183.84
  4. Step 4: Simplify right side
    21,468x = 449,680,961.32
  5. Step 5: Solve for x
    x = 449,680,961.32/21,468
  6. Step 6: Final answer
    x = 20,946.57

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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.