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Finding the Fourth Proportional to 6,725, 9,280.50 and 3,930.50

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Solution

The fourth proportional to 6,725, 9,280.50 and 3,930.50 is: 5,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725 : 9,280.50 = 3,930.50 : x
  2. Step 2: Convert to fraction form
    6,725/9,280.50 = 3,930.50/x
  3. Step 3: Cross multiply
    6,725x = 9,280.50 × 3,930.50
  4. Step 4: Simplify right side
    6,725x = 36,477,005.25
  5. Step 5: Solve for x
    x = 36,477,005.25/6,725
  6. Step 6: Final answer
    x = 5,424.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.