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Finding the Fourth Proportional to 29,340, 43,980.84 and 13,729.68

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Solution

The fourth proportional to 29,340, 43,980.84 and 13,729.68 is: 20,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,340 : 43,980.84 = 13,729.68 : x
  2. Step 2: Convert to fraction form
    29,340/43,980.84 = 13,729.68/x
  3. Step 3: Cross multiply
    29,340x = 43,980.84 × 13,729.68
  4. Step 4: Simplify right side
    29,340x = 603,842,859.33
  5. Step 5: Solve for x
    x = 603,842,859.33/29,340
  6. Step 6: Final answer
    x = 20,580.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.