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Finding the Fourth Proportional to 8,733.80, 13,101.90 and 3,185.80

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Solution

The fourth proportional to 8,733.80, 13,101.90 and 3,185.80 is: 4,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733.80 : 13,101.90 = 3,185.80 : x
  2. Step 2: Convert to fraction form
    8,733.80/13,101.90 = 3,185.80/x
  3. Step 3: Cross multiply
    8,733.80x = 13,101.90 × 3,185.80
  4. Step 4: Simplify right side
    8,733.80x = 41,740,033.02
  5. Step 5: Solve for x
    x = 41,740,033.02/8,733.80
  6. Step 6: Final answer
    x = 4,779.14

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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.