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Finding the Fourth Proportional to 29,164, 40,246.32 and 15,916

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Solution

The fourth proportional to 29,164, 40,246.32 and 15,916 is: 21,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164 : 40,246.32 = 15,916 : x
  2. Step 2: Convert to fraction form
    29,164/40,246.32 = 15,916/x
  3. Step 3: Cross multiply
    29,164x = 40,246.32 × 15,916
  4. Step 4: Simplify right side
    29,164x = 640,560,429.12
  5. Step 5: Solve for x
    x = 640,560,429.12/29,164
  6. Step 6: Final answer
    x = 21,964.08

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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.