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Finding the Fourth Proportional to 7,323.78, 10,986.93 and 2,392.86

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Solution

The fourth proportional to 7,323.78, 10,986.93 and 2,392.86 is: 3,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.78 : 10,986.93 = 2,392.86 : x
  2. Step 2: Convert to fraction form
    7,323.78/10,986.93 = 2,392.86/x
  3. Step 3: Cross multiply
    7,323.78x = 10,986.93 × 2,392.86
  4. Step 4: Simplify right side
    7,323.78x = 26,290,185.32
  5. Step 5: Solve for x
    x = 26,290,185.32/7,323.78
  6. Step 6: Final answer
    x = 3,589.70

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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.