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Finding the Fourth Proportional to 7,289, 10,934.31 and 2,358.44

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Solution

The fourth proportional to 7,289, 10,934.31 and 2,358.44 is: 3,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289 : 10,934.31 = 2,358.44 : x
  2. Step 2: Convert to fraction form
    7,289/10,934.31 = 2,358.44/x
  3. Step 3: Cross multiply
    7,289x = 10,934.31 × 2,358.44
  4. Step 4: Simplify right side
    7,289x = 25,787,914.08
  5. Step 5: Solve for x
    x = 25,787,914.08/7,289
  6. Step 6: Final answer
    x = 3,537.92

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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.