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Finding the Fourth Proportional to 8,108, 11,189.04 and 4,382

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Solution

The fourth proportional to 8,108, 11,189.04 and 4,382 is: 6,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108 : 11,189.04 = 4,382 : x
  2. Step 2: Convert to fraction form
    8,108/11,189.04 = 4,382/x
  3. Step 3: Cross multiply
    8,108x = 11,189.04 × 4,382
  4. Step 4: Simplify right side
    8,108x = 49,030,373.28
  5. Step 5: Solve for x
    x = 49,030,373.28/8,108
  6. Step 6: Final answer
    x = 6,047.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.