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Finding the Fourth Proportional to 11,491, 17,239.38 and 3,283

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Solution

The fourth proportional to 11,491, 17,239.38 and 3,283 is: 4,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491 : 17,239.38 = 3,283 : x
  2. Step 2: Convert to fraction form
    11,491/17,239.38 = 3,283/x
  3. Step 3: Cross multiply
    11,491x = 17,239.38 × 3,283
  4. Step 4: Simplify right side
    11,491x = 56,596,884.54
  5. Step 5: Solve for x
    x = 56,596,884.54/11,491
  6. Step 6: Final answer
    x = 4,925.32

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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.