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Finding the Fourth Proportional to 11,629, 16,047.61 and 6,323.73

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Solution

The fourth proportional to 11,629, 16,047.61 and 6,323.73 is: 8,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629 : 16,047.61 = 6,323.73 : x
  2. Step 2: Convert to fraction form
    11,629/16,047.61 = 6,323.73/x
  3. Step 3: Cross multiply
    11,629x = 16,047.61 × 6,323.73
  4. Step 4: Simplify right side
    11,629x = 101,480,752.79
  5. Step 5: Solve for x
    x = 101,480,752.79/11,629
  6. Step 6: Final answer
    x = 8,726.52

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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.