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Finding the Fourth Proportional to 3,479.65, 5,219.30 and 882.61

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Solution

The fourth proportional to 3,479.65, 5,219.30 and 882.61 is: 1,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.65 : 5,219.30 = 882.61 : x
  2. Step 2: Convert to fraction form
    3,479.65/5,219.30 = 882.61/x
  3. Step 3: Cross multiply
    3,479.65x = 5,219.30 × 882.61
  4. Step 4: Simplify right side
    3,479.65x = 4,606,601.96
  5. Step 5: Solve for x
    x = 4,606,601.96/3,479.65
  6. Step 6: Final answer
    x = 1,323.87

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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.