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Finding the Fourth Proportional to 7,008, 10,512 and 3,930.24

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Solution

The fourth proportional to 7,008, 10,512 and 3,930.24 is: 5,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008 : 10,512 = 3,930.24 : x
  2. Step 2: Convert to fraction form
    7,008/10,512 = 3,930.24/x
  3. Step 3: Cross multiply
    7,008x = 10,512 × 3,930.24
  4. Step 4: Simplify right side
    7,008x = 41,314,682.88
  5. Step 5: Solve for x
    x = 41,314,682.88/7,008
  6. Step 6: Final answer
    x = 5,895.36

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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.