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Finding the Fourth Proportional to 7,311.25, 10,964.28 and 2,379.97

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Solution

The fourth proportional to 7,311.25, 10,964.28 and 2,379.97 is: 3,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.25 : 10,964.28 = 2,379.97 : x
  2. Step 2: Convert to fraction form
    7,311.25/10,964.28 = 2,379.97/x
  3. Step 3: Cross multiply
    7,311.25x = 10,964.28 × 2,379.97
  4. Step 4: Simplify right side
    7,311.25x = 26,094,602.65
  5. Step 5: Solve for x
    x = 26,094,602.65/7,311.25
  6. Step 6: Final answer
    x = 3,569.11

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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.