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Finding the Fourth Proportional to 2,843.47, 4,258 and 2,380.09

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Solution

The fourth proportional to 2,843.47, 4,258 and 2,380.09 is: 3,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.47 : 4,258 = 2,380.09 : x
  2. Step 2: Convert to fraction form
    2,843.47/4,258 = 2,380.09/x
  3. Step 3: Cross multiply
    2,843.47x = 4,258 × 2,380.09
  4. Step 4: Simplify right side
    2,843.47x = 10,134,423.22
  5. Step 5: Solve for x
    x = 10,134,423.22/2,843.47
  6. Step 6: Final answer
    x = 3,564.10

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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.