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Finding the Fourth Proportional to 3,705, 5,529.06 and 3,310.92

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Solution

The fourth proportional to 3,705, 5,529.06 and 3,310.92 is: 4,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705 : 5,529.06 = 3,310.92 : x
  2. Step 2: Convert to fraction form
    3,705/5,529.06 = 3,310.92/x
  3. Step 3: Cross multiply
    3,705x = 5,529.06 × 3,310.92
  4. Step 4: Simplify right side
    3,705x = 18,306,275.34
  5. Step 5: Solve for x
    x = 18,306,275.34/3,705
  6. Step 6: Final answer
    x = 4,940.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.