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Finding the Fourth Proportional to 8,584.80, 12,866.80 and 3,644.07

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Solution

The fourth proportional to 8,584.80, 12,866.80 and 3,644.07 is: 5,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.80 : 12,866.80 = 3,644.07 : x
  2. Step 2: Convert to fraction form
    8,584.80/12,866.80 = 3,644.07/x
  3. Step 3: Cross multiply
    8,584.80x = 12,866.80 × 3,644.07
  4. Step 4: Simplify right side
    8,584.80x = 46,887,455.54
  5. Step 5: Solve for x
    x = 46,887,455.54/8,584.80
  6. Step 6: Final answer
    x = 5,461.68

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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.