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Finding the Fourth Proportional to 29,286.40, 40,415.24 and 15,857.76

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Solution

The fourth proportional to 29,286.40, 40,415.24 and 15,857.76 is: 21,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286.40 : 40,415.24 = 15,857.76 : x
  2. Step 2: Convert to fraction form
    29,286.40/40,415.24 = 15,857.76/x
  3. Step 3: Cross multiply
    29,286.40x = 40,415.24 × 15,857.76
  4. Step 4: Simplify right side
    29,286.40x = 640,895,176.26
  5. Step 5: Solve for x
    x = 640,895,176.26/29,286.40
  6. Step 6: Final answer
    x = 21,883.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.