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Finding the Fourth Proportional to 4,038, 6,059.76 and 2,189.76

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Solution

The fourth proportional to 4,038, 6,059.76 and 2,189.76 is: 3,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038 : 6,059.76 = 2,189.76 : x
  2. Step 2: Convert to fraction form
    4,038/6,059.76 = 2,189.76/x
  3. Step 3: Cross multiply
    4,038x = 6,059.76 × 2,189.76
  4. Step 4: Simplify right side
    4,038x = 13,269,420.06
  5. Step 5: Solve for x
    x = 13,269,420.06/4,038
  6. Step 6: Final answer
    x = 3,286.14

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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.