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Finding the Fourth Proportional to 6,917.49, 10,376.88 and 2,756.49

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Solution

The fourth proportional to 6,917.49, 10,376.88 and 2,756.49 is: 4,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.49 : 10,376.88 = 2,756.49 : x
  2. Step 2: Convert to fraction form
    6,917.49/10,376.88 = 2,756.49/x
  3. Step 3: Cross multiply
    6,917.49x = 10,376.88 × 2,756.49
  4. Step 4: Simplify right side
    6,917.49x = 28,603,765.95
  5. Step 5: Solve for x
    x = 28,603,765.95/6,917.49
  6. Step 6: Final answer
    x = 4,134.99

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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.