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Finding the Fourth Proportional to 7,012, 10,518 and 3,934.24

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Solution

The fourth proportional to 7,012, 10,518 and 3,934.24 is: 5,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012 : 10,518 = 3,934.24 : x
  2. Step 2: Convert to fraction form
    7,012/10,518 = 3,934.24/x
  3. Step 3: Cross multiply
    7,012x = 10,518 × 3,934.24
  4. Step 4: Simplify right side
    7,012x = 41,380,336.32
  5. Step 5: Solve for x
    x = 41,380,336.32/7,012
  6. Step 6: Final answer
    x = 5,901.36

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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.