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Finding the Fourth Proportional to 7,961.76, 10,993.86 and 6,642.38

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Solution

The fourth proportional to 7,961.76, 10,993.86 and 6,642.38 is: 9,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.76 : 10,993.86 = 6,642.38 : x
  2. Step 2: Convert to fraction form
    7,961.76/10,993.86 = 6,642.38/x
  3. Step 3: Cross multiply
    7,961.76x = 10,993.86 × 6,642.38
  4. Step 4: Simplify right side
    7,961.76x = 73,025,395.79
  5. Step 5: Solve for x
    x = 73,025,395.79/7,961.76
  6. Step 6: Final answer
    x = 9,172.02

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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.