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Finding the Fourth Proportional to 7,011, 10,517.94 and 2,907

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Solution

The fourth proportional to 7,011, 10,517.94 and 2,907 is: 4,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011 : 10,517.94 = 2,907 : x
  2. Step 2: Convert to fraction form
    7,011/10,517.94 = 2,907/x
  3. Step 3: Cross multiply
    7,011x = 10,517.94 × 2,907
  4. Step 4: Simplify right side
    7,011x = 30,575,651.58
  5. Step 5: Solve for x
    x = 30,575,651.58/7,011
  6. Step 6: Final answer
    x = 4,361.10

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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.