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Finding the Fourth Proportional to 29,121, 43,681.50 and 8,344.50

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Solution

The fourth proportional to 29,121, 43,681.50 and 8,344.50 is: 12,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,121 : 43,681.50 = 8,344.50 : x
  2. Step 2: Convert to fraction form
    29,121/43,681.50 = 8,344.50/x
  3. Step 3: Cross multiply
    29,121x = 43,681.50 × 8,344.50
  4. Step 4: Simplify right side
    29,121x = 364,500,276.75
  5. Step 5: Solve for x
    x = 364,500,276.75/29,121
  6. Step 6: Final answer
    x = 12,516.75

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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.