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Finding the Fourth Proportional to 18,571.82, 27,865.90 and 7,500.10

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Solution

The fourth proportional to 18,571.82, 27,865.90 and 7,500.10 is: 11,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571.82 : 27,865.90 = 7,500.10 : x
  2. Step 2: Convert to fraction form
    18,571.82/27,865.90 = 7,500.10/x
  3. Step 3: Cross multiply
    18,571.82x = 27,865.90 × 7,500.10
  4. Step 4: Simplify right side
    18,571.82x = 208,997,036.59
  5. Step 5: Solve for x
    x = 208,997,036.59/18,571.82
  6. Step 6: Final answer
    x = 11,253.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.