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Finding the Fourth Proportional to 11,726.64, 16,182.14 and 6,420.44

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Solution

The fourth proportional to 11,726.64, 16,182.14 and 6,420.44 is: 8,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.64 : 16,182.14 = 6,420.44 : x
  2. Step 2: Convert to fraction form
    11,726.64/16,182.14 = 6,420.44/x
  3. Step 3: Cross multiply
    11,726.64x = 16,182.14 × 6,420.44
  4. Step 4: Simplify right side
    11,726.64x = 103,896,458.94
  5. Step 5: Solve for x
    x = 103,896,458.94/11,726.64
  6. Step 6: Final answer
    x = 8,859.87

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