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Finding the Fourth Proportional to 7,954.25, 10,979.81 and 6,830.67

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Solution

The fourth proportional to 7,954.25, 10,979.81 and 6,830.67 is: 9,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.25 : 10,979.81 = 6,830.67 : x
  2. Step 2: Convert to fraction form
    7,954.25/10,979.81 = 6,830.67/x
  3. Step 3: Cross multiply
    7,954.25x = 10,979.81 × 6,830.67
  4. Step 4: Simplify right side
    7,954.25x = 74,999,424.62
  5. Step 5: Solve for x
    x = 74,999,424.62/7,954.25
  6. Step 6: Final answer
    x = 9,428.86

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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.