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Finding the Fourth Proportional to 2,234, 3,082.80 and 1,289.76

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Solution

The fourth proportional to 2,234, 3,082.80 and 1,289.76 is: 1,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234 : 3,082.80 = 1,289.76 : x
  2. Step 2: Convert to fraction form
    2,234/3,082.80 = 1,289.76/x
  3. Step 3: Cross multiply
    2,234x = 3,082.80 × 1,289.76
  4. Step 4: Simplify right side
    2,234x = 3,976,072.13
  5. Step 5: Solve for x
    x = 3,976,072.13/2,234
  6. Step 6: Final answer
    x = 1,779.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.