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Finding the Fourth Proportional to 7,424.88, 11,137.32 and 3,318

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Solution

The fourth proportional to 7,424.88, 11,137.32 and 3,318 is: 4,977

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.88 : 11,137.32 = 3,318 : x
  2. Step 2: Convert to fraction form
    7,424.88/11,137.32 = 3,318/x
  3. Step 3: Cross multiply
    7,424.88x = 11,137.32 × 3,318
  4. Step 4: Simplify right side
    7,424.88x = 36,953,627.76
  5. Step 5: Solve for x
    x = 36,953,627.76/7,424.88
  6. Step 6: Final answer
    x = 4,977

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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.