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Finding the Fourth Proportional to 18,341, 27,511.50 and 10,133

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Solution

The fourth proportional to 18,341, 27,511.50 and 10,133 is: 15,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,341 : 27,511.50 = 10,133 : x
  2. Step 2: Convert to fraction form
    18,341/27,511.50 = 10,133/x
  3. Step 3: Cross multiply
    18,341x = 27,511.50 × 10,133
  4. Step 4: Simplify right side
    18,341x = 278,774,029.50
  5. Step 5: Solve for x
    x = 278,774,029.50/18,341
  6. Step 6: Final answer
    x = 15,199.50

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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.