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Finding the Fourth Proportional to 2,684.83, 4,027.07 and 929.79

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Solution

The fourth proportional to 2,684.83, 4,027.07 and 929.79 is: 1,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.83 : 4,027.07 = 929.79 : x
  2. Step 2: Convert to fraction form
    2,684.83/4,027.07 = 929.79/x
  3. Step 3: Cross multiply
    2,684.83x = 4,027.07 × 929.79
  4. Step 4: Simplify right side
    2,684.83x = 3,744,329.42
  5. Step 5: Solve for x
    x = 3,744,329.42/2,684.83
  6. Step 6: Final answer
    x = 1,394.62

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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.