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Finding the Fourth Proportional to 6,767.50, 10,152.87 and 2,150.50

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Solution

The fourth proportional to 6,767.50, 10,152.87 and 2,150.50 is: 3,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.50 : 10,152.87 = 2,150.50 : x
  2. Step 2: Convert to fraction form
    6,767.50/10,152.87 = 2,150.50/x
  3. Step 3: Cross multiply
    6,767.50x = 10,152.87 × 2,150.50
  4. Step 4: Simplify right side
    6,767.50x = 21,833,746.94
  5. Step 5: Solve for x
    x = 21,833,746.94/6,767.50
  6. Step 6: Final answer
    x = 3,226.26

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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.