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Finding the Fourth Proportional to 8,339.65, 12,513.77 and 3,662.93

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Solution

The fourth proportional to 8,339.65, 12,513.77 and 3,662.93 is: 5,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.65 : 12,513.77 = 3,662.93 : x
  2. Step 2: Convert to fraction form
    8,339.65/12,513.77 = 3,662.93/x
  3. Step 3: Cross multiply
    8,339.65x = 12,513.77 × 3,662.93
  4. Step 4: Simplify right side
    8,339.65x = 45,837,103.99
  5. Step 5: Solve for x
    x = 45,837,103.99/8,339.65
  6. Step 6: Final answer
    x = 5,496.29

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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.