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Finding the Fourth Proportional to 7,678.26, 11,503.89 and 3,724.11

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Solution

The fourth proportional to 7,678.26, 11,503.89 and 3,724.11 is: 5,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.26 : 11,503.89 = 3,724.11 : x
  2. Step 2: Convert to fraction form
    7,678.26/11,503.89 = 3,724.11/x
  3. Step 3: Cross multiply
    7,678.26x = 11,503.89 × 3,724.11
  4. Step 4: Simplify right side
    7,678.26x = 42,841,751.79
  5. Step 5: Solve for x
    x = 42,841,751.79/7,678.26
  6. Step 6: Final answer
    x = 5,579.62

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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.