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Finding the Fourth Proportional to 7,309.78, 10,964.67 and 2,379.93

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Solution

The fourth proportional to 7,309.78, 10,964.67 and 2,379.93 is: 3,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.78 : 10,964.67 = 2,379.93 : x
  2. Step 2: Convert to fraction form
    7,309.78/10,964.67 = 2,379.93/x
  3. Step 3: Cross multiply
    7,309.78x = 10,964.67 × 2,379.93
  4. Step 4: Simplify right side
    7,309.78x = 26,095,147.07
  5. Step 5: Solve for x
    x = 26,095,147.07/7,309.78
  6. Step 6: Final answer
    x = 3,569.90

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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.