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Finding the Fourth Proportional to 7,324.20, 10,978.20 and 4,039.65

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Solution

The fourth proportional to 7,324.20, 10,978.20 and 4,039.65 is: 6,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.20 : 10,978.20 = 4,039.65 : x
  2. Step 2: Convert to fraction form
    7,324.20/10,978.20 = 4,039.65/x
  3. Step 3: Cross multiply
    7,324.20x = 10,978.20 × 4,039.65
  4. Step 4: Simplify right side
    7,324.20x = 44,348,085.63
  5. Step 5: Solve for x
    x = 44,348,085.63/7,324.20
  6. Step 6: Final answer
    x = 6,055.01

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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.