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Finding the Fourth Proportional to 7,321.61, 10,982.45 and 1,774.96

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Solution

The fourth proportional to 7,321.61, 10,982.45 and 1,774.96 is: 2,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.61 : 10,982.45 = 1,774.96 : x
  2. Step 2: Convert to fraction form
    7,321.61/10,982.45 = 1,774.96/x
  3. Step 3: Cross multiply
    7,321.61x = 10,982.45 × 1,774.96
  4. Step 4: Simplify right side
    7,321.61x = 19,493,386.43
  5. Step 5: Solve for x
    x = 19,493,386.43/7,321.61
  6. Step 6: Final answer
    x = 2,662.44

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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.