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Finding the Fourth Proportional to 8,689.80, 13,034.60 and 2,116

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Solution

The fourth proportional to 8,689.80, 13,034.60 and 2,116 is: 3,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.80 : 13,034.60 = 2,116 : x
  2. Step 2: Convert to fraction form
    8,689.80/13,034.60 = 2,116/x
  3. Step 3: Cross multiply
    8,689.80x = 13,034.60 × 2,116
  4. Step 4: Simplify right side
    8,689.80x = 27,581,213.60
  5. Step 5: Solve for x
    x = 27,581,213.60/8,689.80
  6. Step 6: Final answer
    x = 3,173.98

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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.