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Finding the Fourth Proportional to 11,866.60, 17,800.50 and 3,101.44

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Solution

The fourth proportional to 11,866.60, 17,800.50 and 3,101.44 is: 4,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.60 : 17,800.50 = 3,101.44 : x
  2. Step 2: Convert to fraction form
    11,866.60/17,800.50 = 3,101.44/x
  3. Step 3: Cross multiply
    11,866.60x = 17,800.50 × 3,101.44
  4. Step 4: Simplify right side
    11,866.60x = 55,207,182.72
  5. Step 5: Solve for x
    x = 55,207,182.72/11,866.60
  6. Step 6: Final answer
    x = 4,652.32

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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.