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Finding the Fourth Proportional to 7,398.08, 11,096 and 2,780

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Solution

The fourth proportional to 7,398.08, 11,096 and 2,780 is: 4,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.08 : 11,096 = 2,780 : x
  2. Step 2: Convert to fraction form
    7,398.08/11,096 = 2,780/x
  3. Step 3: Cross multiply
    7,398.08x = 11,096 × 2,780
  4. Step 4: Simplify right side
    7,398.08x = 30,846,880
  5. Step 5: Solve for x
    x = 30,846,880/7,398.08
  6. Step 6: Final answer
    x = 4,169.58

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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.