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Finding the Fourth Proportional to 18,825, 28,237.50 and 6,513

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Solution

The fourth proportional to 18,825, 28,237.50 and 6,513 is: 9,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825 : 28,237.50 = 6,513 : x
  2. Step 2: Convert to fraction form
    18,825/28,237.50 = 6,513/x
  3. Step 3: Cross multiply
    18,825x = 28,237.50 × 6,513
  4. Step 4: Simplify right side
    18,825x = 183,910,837.50
  5. Step 5: Solve for x
    x = 183,910,837.50/18,825
  6. Step 6: Final answer
    x = 9,769.50

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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.