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Finding the Fourth Proportional to 3,606, 5,409 and 870

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Solution

The fourth proportional to 3,606, 5,409 and 870 is: 1,305

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606 : 5,409 = 870 : x
  2. Step 2: Convert to fraction form
    3,606/5,409 = 870/x
  3. Step 3: Cross multiply
    3,606x = 5,409 × 870
  4. Step 4: Simplify right side
    3,606x = 4,705,830
  5. Step 5: Solve for x
    x = 4,705,830/3,606
  6. Step 6: Final answer
    x = 1,305

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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.