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Finding the Fourth Proportional to 7,341, 11,009.34 and 2,145.64

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Solution

The fourth proportional to 7,341, 11,009.34 and 2,145.64 is: 3,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341 : 11,009.34 = 2,145.64 : x
  2. Step 2: Convert to fraction form
    7,341/11,009.34 = 2,145.64/x
  3. Step 3: Cross multiply
    7,341x = 11,009.34 × 2,145.64
  4. Step 4: Simplify right side
    7,341x = 23,622,080.28
  5. Step 5: Solve for x
    x = 23,622,080.28/7,341
  6. Step 6: Final answer
    x = 3,217.83

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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.