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Finding the Fourth Proportional to 6,880.50, 10,320.78 and 2,776.50

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Solution

The fourth proportional to 6,880.50, 10,320.78 and 2,776.50 is: 4,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.50 : 10,320.78 = 2,776.50 : x
  2. Step 2: Convert to fraction form
    6,880.50/10,320.78 = 2,776.50/x
  3. Step 3: Cross multiply
    6,880.50x = 10,320.78 × 2,776.50
  4. Step 4: Simplify right side
    6,880.50x = 28,655,645.67
  5. Step 5: Solve for x
    x = 28,655,645.67/6,880.50
  6. Step 6: Final answer
    x = 4,164.76

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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.