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Finding the Fourth Proportional to 8,492.87, 12,740.52 and 2,649.94

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Solution

The fourth proportional to 8,492.87, 12,740.52 and 2,649.94 is: 3,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.87 : 12,740.52 = 2,649.94 : x
  2. Step 2: Convert to fraction form
    8,492.87/12,740.52 = 2,649.94/x
  3. Step 3: Cross multiply
    8,492.87x = 12,740.52 × 2,649.94
  4. Step 4: Simplify right side
    8,492.87x = 33,761,591.65
  5. Step 5: Solve for x
    x = 33,761,591.65/8,492.87
  6. Step 6: Final answer
    x = 3,975.29

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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.