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Finding the Fourth Proportional to 3,596.76, 5,395.81 and 1,405.36

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Solution

The fourth proportional to 3,596.76, 5,395.81 and 1,405.36 is: 2,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.76 : 5,395.81 = 1,405.36 : x
  2. Step 2: Convert to fraction form
    3,596.76/5,395.81 = 1,405.36/x
  3. Step 3: Cross multiply
    3,596.76x = 5,395.81 × 1,405.36
  4. Step 4: Simplify right side
    3,596.76x = 7,583,021.54
  5. Step 5: Solve for x
    x = 7,583,021.54/3,596.76
  6. Step 6: Final answer
    x = 2,108.29

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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.