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Finding the Fourth Proportional to 11,590, 17,388.60 and 3,382

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Solution

The fourth proportional to 11,590, 17,388.60 and 3,382 is: 5,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590 : 17,388.60 = 3,382 : x
  2. Step 2: Convert to fraction form
    11,590/17,388.60 = 3,382/x
  3. Step 3: Cross multiply
    11,590x = 17,388.60 × 3,382
  4. Step 4: Simplify right side
    11,590x = 58,808,245.20
  5. Step 5: Solve for x
    x = 58,808,245.20/11,590
  6. Step 6: Final answer
    x = 5,074.05

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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.