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Finding the Fourth Proportional to 7,940.71, 10,949.14 and 6,500.49

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Solution

The fourth proportional to 7,940.71, 10,949.14 and 6,500.49 is: 8,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.71 : 10,949.14 = 6,500.49 : x
  2. Step 2: Convert to fraction form
    7,940.71/10,949.14 = 6,500.49/x
  3. Step 3: Cross multiply
    7,940.71x = 10,949.14 × 6,500.49
  4. Step 4: Simplify right side
    7,940.71x = 71,174,775.08
  5. Step 5: Solve for x
    x = 71,174,775.08/7,940.71
  6. Step 6: Final answer
    x = 8,963.28

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1.5x scale

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.