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Finding the Fourth Proportional to 3,935, 5,430.56 and 2,279

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Solution

The fourth proportional to 3,935, 5,430.56 and 2,279 is: 3,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935 : 5,430.56 = 2,279 : x
  2. Step 2: Convert to fraction form
    3,935/5,430.56 = 2,279/x
  3. Step 3: Cross multiply
    3,935x = 5,430.56 × 2,279
  4. Step 4: Simplify right side
    3,935x = 12,376,246.24
  5. Step 5: Solve for x
    x = 12,376,246.24/3,935
  6. Step 6: Final answer
    x = 3,145.17

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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.