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Finding the Fourth Proportional to 29,820, 41,160.24 and 19,884

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Solution

The fourth proportional to 29,820, 41,160.24 and 19,884 is: 27,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820 : 41,160.24 = 19,884 : x
  2. Step 2: Convert to fraction form
    29,820/41,160.24 = 19,884/x
  3. Step 3: Cross multiply
    29,820x = 41,160.24 × 19,884
  4. Step 4: Simplify right side
    29,820x = 818,430,212.16
  5. Step 5: Solve for x
    x = 818,430,212.16/29,820
  6. Step 6: Final answer
    x = 27,445.68

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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.