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Finding the Fourth Proportional to 13,800.25, 19,045.38 and 7,832.44

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Solution

The fourth proportional to 13,800.25, 19,045.38 and 7,832.44 is: 10,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.25 : 19,045.38 = 7,832.44 : x
  2. Step 2: Convert to fraction form
    13,800.25/19,045.38 = 7,832.44/x
  3. Step 3: Cross multiply
    13,800.25x = 19,045.38 × 7,832.44
  4. Step 4: Simplify right side
    13,800.25x = 149,171,796.13
  5. Step 5: Solve for x
    x = 149,171,796.13/13,800.25
  6. Step 6: Final answer
    x = 10,809.35

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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.