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Finding the Fourth Proportional to 8,602.98, 12,903.84 and 2,758.02

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Solution

The fourth proportional to 8,602.98, 12,903.84 and 2,758.02 is: 4,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.98 : 12,903.84 = 2,758.02 : x
  2. Step 2: Convert to fraction form
    8,602.98/12,903.84 = 2,758.02/x
  3. Step 3: Cross multiply
    8,602.98x = 12,903.84 × 2,758.02
  4. Step 4: Simplify right side
    8,602.98x = 35,589,048.80
  5. Step 5: Solve for x
    x = 35,589,048.80/8,602.98
  6. Step 6: Final answer
    x = 4,136.83

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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.