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Finding the Fourth Proportional to 29,286.30, 40,415.16 and 15,857.71

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Solution

The fourth proportional to 29,286.30, 40,415.16 and 15,857.71 is: 21,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286.30 : 40,415.16 = 15,857.71 : x
  2. Step 2: Convert to fraction form
    29,286.30/40,415.16 = 15,857.71/x
  3. Step 3: Cross multiply
    29,286.30x = 40,415.16 × 15,857.71
  4. Step 4: Simplify right side
    29,286.30x = 640,891,886.88
  5. Step 5: Solve for x
    x = 640,891,886.88/29,286.30
  6. Step 6: Final answer
    x = 21,883.68

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1.5x scale

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.