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Finding the Fourth Proportional to 11,988.10, 17,980.53 and 3,223.54

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Solution

The fourth proportional to 11,988.10, 17,980.53 and 3,223.54 is: 4,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988.10 : 17,980.53 = 3,223.54 : x
  2. Step 2: Convert to fraction form
    11,988.10/17,980.53 = 3,223.54/x
  3. Step 3: Cross multiply
    11,988.10x = 17,980.53 × 3,223.54
  4. Step 4: Simplify right side
    11,988.10x = 57,960,957.68
  5. Step 5: Solve for x
    x = 57,960,957.68/11,988.10
  6. Step 6: Final answer
    x = 4,834.87

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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.