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Finding the Fourth Proportional to 27,128.92, 40,699.72 and 8,407.98

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Solution

The fourth proportional to 27,128.92, 40,699.72 and 8,407.98 is: 12,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,128.92 : 40,699.72 = 8,407.98 : x
  2. Step 2: Convert to fraction form
    27,128.92/40,699.72 = 8,407.98/x
  3. Step 3: Cross multiply
    27,128.92x = 40,699.72 × 8,407.98
  4. Step 4: Simplify right side
    27,128.92x = 342,202,431.77
  5. Step 5: Solve for x
    x = 342,202,431.77/27,128.92
  6. Step 6: Final answer
    x = 12,613.93

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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.