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Finding the Fourth Proportional to 10,029.61, 13,840.92 and 5,553.65

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Solution

The fourth proportional to 10,029.61, 13,840.92 and 5,553.65 is: 7,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.61 : 13,840.92 = 5,553.65 : x
  2. Step 2: Convert to fraction form
    10,029.61/13,840.92 = 5,553.65/x
  3. Step 3: Cross multiply
    10,029.61x = 13,840.92 × 5,553.65
  4. Step 4: Simplify right side
    10,029.61x = 76,867,625.36
  5. Step 5: Solve for x
    x = 76,867,625.36/10,029.61
  6. Step 6: Final answer
    x = 7,664.07

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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.