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Finding the Fourth Proportional to 29,654, 40,922.55 and 17,078.78

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Solution

The fourth proportional to 29,654, 40,922.55 and 17,078.78 is: 23,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654 : 40,922.55 = 17,078.78 : x
  2. Step 2: Convert to fraction form
    29,654/40,922.55 = 17,078.78/x
  3. Step 3: Cross multiply
    29,654x = 40,922.55 × 17,078.78
  4. Step 4: Simplify right side
    29,654x = 698,907,228.49
  5. Step 5: Solve for x
    x = 698,907,228.49/29,654
  6. Step 6: Final answer
    x = 23,568.73

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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.