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Finding the Fourth Proportional to 11,150, 16,726.40 and 4,128.83

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Solution

The fourth proportional to 11,150, 16,726.40 and 4,128.83 is: 6,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,150 : 16,726.40 = 4,128.83 : x
  2. Step 2: Convert to fraction form
    11,150/16,726.40 = 4,128.83/x
  3. Step 3: Cross multiply
    11,150x = 16,726.40 × 4,128.83
  4. Step 4: Simplify right side
    11,150x = 69,060,462.11
  5. Step 5: Solve for x
    x = 69,060,462.11/11,150
  6. Step 6: Final answer
    x = 6,193.76

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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.