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Finding the Fourth Proportional to 29,126.36, 43,684.68 and 8,345

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Solution

The fourth proportional to 29,126.36, 43,684.68 and 8,345 is: 12,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,126.36 : 43,684.68 = 8,345 : x
  2. Step 2: Convert to fraction form
    29,126.36/43,684.68 = 8,345/x
  3. Step 3: Cross multiply
    29,126.36x = 43,684.68 × 8,345
  4. Step 4: Simplify right side
    29,126.36x = 364,548,654.60
  5. Step 5: Solve for x
    x = 364,548,654.60/29,126.36
  6. Step 6: Final answer
    x = 12,516.11

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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.