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Finding the Fourth Proportional to 8,409.91, 12,616.80 and 3,904.69

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Solution

The fourth proportional to 8,409.91, 12,616.80 and 3,904.69 is: 5,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.91 : 12,616.80 = 3,904.69 : x
  2. Step 2: Convert to fraction form
    8,409.91/12,616.80 = 3,904.69/x
  3. Step 3: Cross multiply
    8,409.91x = 12,616.80 × 3,904.69
  4. Step 4: Simplify right side
    8,409.91x = 49,264,692.79
  5. Step 5: Solve for x
    x = 49,264,692.79/8,409.91
  6. Step 6: Final answer
    x = 5,857.93

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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.