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Finding the Fourth Proportional to 18,525, 25,564.50 and 10,141.50

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Solution

The fourth proportional to 18,525, 25,564.50 and 10,141.50 is: 13,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,525 : 25,564.50 = 10,141.50 : x
  2. Step 2: Convert to fraction form
    18,525/25,564.50 = 10,141.50/x
  3. Step 3: Cross multiply
    18,525x = 25,564.50 × 10,141.50
  4. Step 4: Simplify right side
    18,525x = 259,262,376.75
  5. Step 5: Solve for x
    x = 259,262,376.75/18,525
  6. Step 6: Final answer
    x = 13,995.27

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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.