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Finding the Fourth Proportional to 29,224, 40,329.76 and 15,976

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Solution

The fourth proportional to 29,224, 40,329.76 and 15,976 is: 22,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,224 : 40,329.76 = 15,976 : x
  2. Step 2: Convert to fraction form
    29,224/40,329.76 = 15,976/x
  3. Step 3: Cross multiply
    29,224x = 40,329.76 × 15,976
  4. Step 4: Simplify right side
    29,224x = 644,308,245.76
  5. Step 5: Solve for x
    x = 644,308,245.76/29,224
  6. Step 6: Final answer
    x = 22,047.23

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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.