Home / 1,928.46-2,892.70-467.62

Finding the Fourth Proportional to 1,928.46, 2,892.70 and 467.62

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Solution

The fourth proportional to 1,928.46, 2,892.70 and 467.62 is: 701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.46 : 2,892.70 = 467.62 : x
  2. Step 2: Convert to fraction form
    1,928.46/2,892.70 = 467.62/x
  3. Step 3: Cross multiply
    1,928.46x = 2,892.70 × 467.62
  4. Step 4: Simplify right side
    1,928.46x = 1,352,669.91
  5. Step 5: Solve for x
    x = 1,352,669.91/1,928.46
  6. Step 6: Final answer
    x = 701.42

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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.