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Finding the Fourth Proportional to 11,908, 17,862.04 and 3,143.60

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Solution

The fourth proportional to 11,908, 17,862.04 and 3,143.60 is: 4,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908 : 17,862.04 = 3,143.60 : x
  2. Step 2: Convert to fraction form
    11,908/17,862.04 = 3,143.60/x
  3. Step 3: Cross multiply
    11,908x = 17,862.04 × 3,143.60
  4. Step 4: Simplify right side
    11,908x = 56,151,108.94
  5. Step 5: Solve for x
    x = 56,151,108.94/11,908
  6. Step 6: Final answer
    x = 4,715.41

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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.