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Finding the Fourth Proportional to 7,342.80, 11,016.90 and 2,960.70

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Solution

The fourth proportional to 7,342.80, 11,016.90 and 2,960.70 is: 4,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.80 : 11,016.90 = 2,960.70 : x
  2. Step 2: Convert to fraction form
    7,342.80/11,016.90 = 2,960.70/x
  3. Step 3: Cross multiply
    7,342.80x = 11,016.90 × 2,960.70
  4. Step 4: Simplify right side
    7,342.80x = 32,617,735.83
  5. Step 5: Solve for x
    x = 32,617,735.83/7,342.80
  6. Step 6: Final answer
    x = 4,442.14

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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.