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Finding the Fourth Proportional to 12,535.76, 18,804 and 3,769.76

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Solution

The fourth proportional to 12,535.76, 18,804 and 3,769.76 is: 5,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.76 : 18,804 = 3,769.76 : x
  2. Step 2: Convert to fraction form
    12,535.76/18,804 = 3,769.76/x
  3. Step 3: Cross multiply
    12,535.76x = 18,804 × 3,769.76
  4. Step 4: Simplify right side
    12,535.76x = 70,886,567.04
  5. Step 5: Solve for x
    x = 70,886,567.04/12,535.76
  6. Step 6: Final answer
    x = 5,654.75

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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.