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Finding the Fourth Proportional to 5,678.50, 8,519.50 and 2,907.12

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Solution

The fourth proportional to 5,678.50, 8,519.50 and 2,907.12 is: 4,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.50 : 8,519.50 = 2,907.12 : x
  2. Step 2: Convert to fraction form
    5,678.50/8,519.50 = 2,907.12/x
  3. Step 3: Cross multiply
    5,678.50x = 8,519.50 × 2,907.12
  4. Step 4: Simplify right side
    5,678.50x = 24,767,198.26
  5. Step 5: Solve for x
    x = 24,767,198.26/5,678.50
  6. Step 6: Final answer
    x = 4,361.57

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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.